{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T04:32:47Z","timestamp":1766550767542},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"The NSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation","award":["B39G660025"],"award-info":[{"award-number":["B39G660025"]}]},{"name":"The Science, Research and Innovation Promotion Funding (TSRI)"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s40314-023-02503-7","type":"journal-article","created":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T12:02:51Z","timestamp":1701432171000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds"],"prefix":"10.1007","volume":"43","author":[{"given":"Konrawut","family":"Khammahawong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sani","family":"Salisu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,12,1]]},"reference":[{"key":"2503_CR1","doi-asserted-by":"crossref","unstructured":"Alber YI, Guerre-Delabriere S (1997) Principle of weakly contractive maps in Hilbert spaces. In: New results in operator theory and its applications: the Israel M. Glazman memorial volume, pp. 7\u201322. Basel: Birkh\u00e4user","DOI":"10.1007\/978-3-0348-8910-0_2"},{"issue":"2","key":"2503_CR2","doi-asserted-by":"publisher","first-page":"561","DOI":"10.24193\/fpt-ro.2020.2.40","volume":"21","author":"S Al-Homidan","year":"2020","unstructured":"Al-Homidan S, Ansari QH, Babu F, Yao JC (2020) Viscosity method with a $$\\phi $$-contraction mapping for hierarchical variational inequalities on Hadamard manifolds. Fixed Point Theory 21(2):561\u2013584","journal-title":"Fixed Point Theory"},{"key":"2503_CR3","doi-asserted-by":"crossref","unstructured":"Ansari QH, Ceng LC, Gupta H (2014) Triple hierarchical variational inequalities. In: Nonlinear analysis, Trends Math., pp. 231\u2013280. Birkh\u00e4user\/Springer, New Delhi","DOI":"10.1007\/978-81-322-1883-8_8"},{"issue":"2","key":"2503_CR4","first-page":"219","volume":"19","author":"QH Ansari","year":"2018","unstructured":"Ansari QH, Babu F, Li XB (2018) Variational inclusion problems in Hadamard manifolds. J Nonlinear Convex Anal 19(2):219\u2013237","journal-title":"J Nonlinear Convex Anal"},{"issue":"10","key":"2503_CR5","first-page":"2299","volume":"21","author":"QH Ansari","year":"2020","unstructured":"Ansari QH, Babu F, Zeeshan M (2020) Existence results and implicit viscosity methods for hierarchical problems on Hadamard manifolds. J Nonlinear Convex Anal 21(10):2299\u20132324","journal-title":"J Nonlinear Convex Anal"},{"issue":"2","key":"2503_CR6","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1080\/00036811.2018.1495329","volume":"99","author":"QH Ansari","year":"2020","unstructured":"Ansari QH, Islam M, Yao JC (2020) Nonsmooth variational inequalities on Hadamard manifolds. Appl Anal 99(2):340\u2013358. https:\/\/doi.org\/10.1080\/00036811.2018.1495329","journal-title":"Appl Anal"},{"issue":"4","key":"2503_CR7","doi-asserted-by":"publisher","first-page":"1333","DOI":"10.1007\/s10473-022-0405-4","volume":"42","author":"QH Ansari","year":"2022","unstructured":"Ansari QH, Babu F, Sahu DR (2022) Iterative algorithms for system of variational inclusions in Hadamard manifolds. Acta Math Sci Ser B Engl Ed 42(4):1333\u20131356. https:\/\/doi.org\/10.1007\/s10473-022-0405-4","journal-title":"Acta Math Sci Ser B Engl Ed"},{"issue":"8","key":"2503_CR8","doi-asserted-by":"publisher","first-page":"2350","DOI":"10.1016\/j.na.2006.08.032","volume":"67","author":"K Aoyama","year":"2007","unstructured":"Aoyama K, Kimura Y, Takahashi W, Toyoda M (2007) Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space. Nonlinear Anal 67(8):2350\u20132360. https:\/\/doi.org\/10.1016\/j.na.2006.08.032","journal-title":"Nonlinear Anal"},{"issue":"3","key":"2503_CR9","doi-asserted-by":"publisher","first-page":"1542","DOI":"10.1137\/140953393","volume":"24","author":"M Ba\u010d\u00e1k","year":"2014","unstructured":"Ba\u010d\u00e1k M (2014) Computing medians and means in Hadamard spaces. SIAM J Optim 24(3):1542\u20131566. https:\/\/doi.org\/10.1137\/140953393","journal-title":"SIAM J Optim"},{"key":"2503_CR10","doi-asserted-by":"publisher","first-page":"458","DOI":"10.2307\/2035677","volume":"20","author":"DW Boyd","year":"1969","unstructured":"Boyd DW, Wong JSW (1969) On nonlinear contractions. Proc Am Math Soc 20:458\u2013464. https:\/\/doi.org\/10.2307\/2035677","journal-title":"Proc Am Math Soc"},{"key":"2503_CR11","doi-asserted-by":"publisher","unstructured":"Bridson MR, Haefliger A (1999) Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 319. Springer-Verlag, Berlin. https:\/\/doi.org\/10.1007\/978-3-662-12494-9","DOI":"10.1007\/978-3-662-12494-9"},{"issue":"2","key":"2503_CR12","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1137\/S105262340343467X","volume":"15","author":"A Cabot","year":"2005","unstructured":"Cabot A (2005) Proximal point algorithm controlled by a slowly vanishing term: applications to hierarchical minimization. SIAM J Optim 15(2):555\u2013572. https:\/\/doi.org\/10.1137\/S105262340343467X","journal-title":"SIAM J Optim"},{"key":"2503_CR13","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1155\/2012\/472935","volume":"2012","author":"LC Ceng","year":"2012","unstructured":"Ceng LC, Ansari QH, Wong NC, Yao JC (2012) Implicit iterative method for hierarchical variational inequalities. J Appl Math 2012:14. https:\/\/doi.org\/10.1155\/2012\/472935. (Id\/No 472935)","journal-title":"J Appl Math"},{"issue":"7","key":"2503_CR14","doi-asserted-by":"publisher","first-page":"1771","DOI":"10.1109\/TSP.2003.812846","volume":"51","author":"PL Combettes","year":"2003","unstructured":"Combettes PL (2003) A block-iterative surrogate constraint splitting method for quadratic signal recovery. IEEE Trans Signal Process 51(7):1771\u20131782. https:\/\/doi.org\/10.1109\/TSP.2003.812846","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"2503_CR15","first-page":"69","volume":"5","author":"JX da Cruz Neto","year":"2000","unstructured":"da Cruz Neto JX, Ferreira OP, Lucambio P\u00e9rez LR (2000) Monotone point-to-set vector fields. Balkan J Geom Appl 5(1):69\u201379 (Dedicated to Professor Constantin Udri\u015fte)","journal-title":"Balkan J Geom Appl"},{"issue":"1","key":"2503_CR16","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s10898-005-6741-9","volume":"35","author":"JX Da Cruz Neto","year":"2006","unstructured":"Da Cruz Neto JX, Ferreira OP, P\u00e9rez LRL, N\u00e9meth SZ (2006) Convex- and monotone-transformable mathematical programming problems and a proximal-like point method. J Global Optim 35(1):53\u201369. https:\/\/doi.org\/10.1007\/s10898-005-6741-9","journal-title":"J Global Optim"},{"key":"2503_CR17","doi-asserted-by":"publisher","unstructured":"do Carmo MPA (1992) Riemannian geometry. Mathematics: Theory & Applications. Birkh\u00e4user Boston, Inc., Boston, MA. https:\/\/doi.org\/10.1007\/978-1-4757-2201-7. Translated from the second Portuguese edition by Francis Flaherty","DOI":"10.1007\/978-1-4757-2201-7"},{"issue":"2","key":"2503_CR18","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1080\/02331930290019413","volume":"51","author":"OP Ferreira","year":"2002","unstructured":"Ferreira OP, Oliveira PR (2002) Proximal point algorithm on Riemannian manifolds. Optimization 51(2):257\u2013270. https:\/\/doi.org\/10.1080\/02331930290019413","journal-title":"Optimization"},{"issue":"1","key":"2503_CR19","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1007\/s10898-003-3780-y","volume":"31","author":"OP Ferreira","year":"2005","unstructured":"Ferreira OP, P\u00e9rez LRL, N\u00e9meth SZ (2005) Singularities of monotone vector fields and an extragradient-type algorithm. J Global Optim 31(1):133\u2013151. https:\/\/doi.org\/10.1007\/s10898-003-3780-y","journal-title":"J Global Optim"},{"key":"2503_CR20","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1186\/s13660-021-02598-8","volume":"2021","author":"D Filali","year":"2021","unstructured":"Filali D, Dilshad M, Akram M, Babu F, Ahmad I (2021) Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds. J Inequal Appl 2021:20. https:\/\/doi.org\/10.1186\/s13660-021-02598-8. (Id\/No 66)","journal-title":"J Inequal Appl"},{"key":"2503_CR21","doi-asserted-by":"publisher","first-page":"957","DOI":"10.1090\/S0002-9904-1967-11864-0","volume":"73","author":"B Halpern","year":"1967","unstructured":"Halpern B (1967) Fixed points of nonexpanding maps. Bull Am Math Soc 73:957\u2013961. https:\/\/doi.org\/10.1090\/S0002-9904-1967-11864-0","journal-title":"Bull Am Math Soc"},{"issue":"2","key":"2503_CR22","first-page":"317","volume":"1","author":"S Huang","year":"2015","unstructured":"Huang S (2015) Approximations with weak contractions in Hadamard manifolds. Linear Nonlinear Anal 1(2):317\u2013328","journal-title":"Linear Nonlinear Anal"},{"issue":"1\u20132, Ser. A","key":"2503_CR23","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/s10107-010-0427-x","volume":"133","author":"H Iiduka","year":"2012","unstructured":"Iiduka H (2012) Fixed point optimization algorithm and its application to power control in CDMA data networks. Math Prog 133(1\u20132, Ser. A):227\u2013242. https:\/\/doi.org\/10.1007\/s10107-010-0427-x","journal-title":"Math Prog"},{"issue":"3","key":"2503_CR24","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1112\/jlms\/jdn087","volume":"79","author":"C Li","year":"2009","unstructured":"Li C, L\u00f3pez G, Mart\u00edn-M\u00e1rquez V (2009) Monotone vector fields and the proximal point algorithm on Hadamard manifolds. J Lond Math Soc (2) 79(3):663\u2013683. https:\/\/doi.org\/10.1112\/jlms\/jdn087","journal-title":"J Lond Math Soc (2)"},{"issue":"2","key":"2503_CR25","doi-asserted-by":"publisher","first-page":"541","DOI":"10.11650\/twjm\/1500405806","volume":"14","author":"C Li","year":"2010","unstructured":"Li C, L\u00f3pez G, Mart\u00edn-M\u00e1rquez V (2010) Iterative algorithms for nonexpansive mappings on Hadamard manifolds. Taiwan J Math 14(2):541\u2013559. https:\/\/doi.org\/10.11650\/twjm\/1500405806","journal-title":"Taiwan J Math"},{"issue":"3","key":"2503_CR26","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/s11228-010-0169-1","volume":"19","author":"C Li","year":"2011","unstructured":"Li C, L\u00f3pez G, Mart\u00edn-M\u00e1rquez V, Wang JH (2011) Resolvents of set-valued monotone vector fields in Hadamard manifolds. Set-Valued Var Anal 19(3):361\u2013383. https:\/\/doi.org\/10.1007\/s11228-010-0169-1","journal-title":"Set-Valued Var Anal"},{"key":"2503_CR27","doi-asserted-by":"publisher","unstructured":"Mordukhovich BS (2020) Bilevel optimization and variational analysis. In: Bilevel optimization. Advances and next challenges. Springer, Cham, pp 197\u2013226 https:\/\/doi.org\/10.1007\/978-3-030-52119-6_7","DOI":"10.1007\/978-3-030-52119-6_7"},{"issue":"1","key":"2503_CR28","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1006\/jmaa.1999.6615","volume":"241","author":"A Moudafi","year":"2000","unstructured":"Moudafi A (2000) Viscosity approximation methods for fixed-points problems. J Math Anal Appl 241(1):46\u201355. https:\/\/doi.org\/10.1006\/jmaa.1999.6615","journal-title":"J Math Anal Appl"},{"key":"2503_CR29","doi-asserted-by":"publisher","first-page":"95453","DOI":"10.1155\/fpta\/2006\/95453","volume":"10","author":"A Moudafi","year":"2006","unstructured":"Moudafi A, Maing\u00e9 PE (2006) Towards viscosity approximations of hierarchical fixed-point problems. Fixed Point Theory Appl 10:95453. https:\/\/doi.org\/10.1155\/fpta\/2006\/95453","journal-title":"Fixed Point Theory Appl"},{"issue":"3\u20134","key":"2503_CR30","doi-asserted-by":"publisher","first-page":"437","DOI":"10.5486\/PMD.1999.2057","volume":"54","author":"SZ N\u00e9meth","year":"1999","unstructured":"N\u00e9meth SZ (1999) Monotone vector fields. Publ Math Debrecen 54(3\u20134):437\u2013449","journal-title":"Publ Math Debrecen"},{"issue":"3","key":"2503_CR31","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1023\/A:1006624901670","volume":"84","author":"SZ N\u00e9meth","year":"1999","unstructured":"N\u00e9meth SZ (1999) Monotonicity of the complementary vector field of a nonexpansive map. Acta Math Hung 84(3):189\u2013197. https:\/\/doi.org\/10.1023\/A:1006624901670","journal-title":"Acta Math Hung"},{"issue":"5","key":"2503_CR32","doi-asserted-by":"publisher","first-page":"1491","DOI":"10.1016\/S0362-546X(02)00266-3","volume":"52","author":"SZ N\u00e9meth","year":"2003","unstructured":"N\u00e9meth SZ (2003) Variational inequalities on Hadamard manifolds. Nonlinear Anal 52(5):1491\u20131498. https:\/\/doi.org\/10.1016\/S0362-546X(02)00266-3","journal-title":"Nonlinear Anal"},{"key":"2503_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-6357-0","volume-title":"Smooth nonlinear optimization in $$\\textbf{R} ^{n}$$, Nonconvex Optimization and its Applications","author":"T Rapcs\u00e1k","year":"1997","unstructured":"Rapcs\u00e1k T (1997) Smooth nonlinear optimization in $$\\textbf{R} ^{n}$$, Nonconvex Optimization and its Applications, vol 19. Kluwer Academic Publishers, Dordrecht. https:\/\/doi.org\/10.1007\/978-1-4615-6357-0"},{"key":"2503_CR34","doi-asserted-by":"publisher","unstructured":"Rhoades BE (2001) Some theorems on weakly contractive maps. In: Proceedings of the Third World Congress of Nonlinear Analysts, Part 4 (Catania, 2000), vol.\u00a047, pp. 2683\u20132693. https:\/\/doi.org\/10.1016\/S0362-546X(01)00388-1","DOI":"10.1016\/S0362-546X(01)00388-1"},{"issue":"4","key":"2503_CR35","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1007\/s10898-011-9647-8","volume":"51","author":"DR Sahu","year":"2011","unstructured":"Sahu DR, Yao JC (2011) The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces. J Global Optim 51(4):641\u2013655. https:\/\/doi.org\/10.1007\/s10898-011-9647-8","journal-title":"J Global Optim"},{"key":"2503_CR36","doi-asserted-by":"crossref","unstructured":"Sakai T (1996) Riemannian geometry, Translations of Mathematical Monographs, vol. 149. American Mathematical Society, Providence, RI. Translated from the 1992 Japanese original by the author","DOI":"10.1090\/mmono\/149"},{"key":"2503_CR37","doi-asserted-by":"publisher","unstructured":"Sen Chang S, Yao JC, Liu M, Zhao LC, Zhu JH (2021) Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in hadamard manifold. Revista de la Real Academia de Ciencias Exactas, F\u00edsicas y Naturales. Serie A. Matem\u00e1ticas 115(4). https:\/\/doi.org\/10.1007\/s13398-021-01105-4","DOI":"10.1007\/s13398-021-01105-4"},{"issue":"9","key":"2503_CR38","doi-asserted-by":"publisher","first-page":"4511","DOI":"10.1109\/TSP.2007.896252","volume":"55","author":"K Slavakis","year":"2007","unstructured":"Slavakis K, Yamada I (2007) Robust wideband beamforming by the hybrid steepest descent method. IEEE Trans Signal Process 55(9):4511\u20134522. https:\/\/doi.org\/10.1109\/TSP.2007.896252","journal-title":"IEEE Trans Signal Process"},{"issue":"2","key":"2503_CR39","first-page":"227","volume":"14","author":"M Solodov","year":"2007","unstructured":"Solodov M (2007) An explicit descent method for bilevel convex optimization. J Convex Anal 14(2):227\u2013237","journal-title":"J Convex Anal"},{"key":"2503_CR40","first-page":"4413","volume":"258","author":"G Stampacchia","year":"1964","unstructured":"Stampacchia G (1964) Formes bilin\u00e9aires coercitives sur les ensembles convexes. C R Acad Sci Paris 258:4413\u20134416","journal-title":"C R Acad Sci Paris"},{"issue":"3","key":"2503_CR41","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1007\/s10898-011-9773-3","volume":"54","author":"Gj Tang","year":"2012","unstructured":"Tang Gj, Huang Nj (2012) Korpelevich\u2019s method for variational inequality problems on Hadamard manifolds. J Global Optim 54(3):493\u2013509. https:\/\/doi.org\/10.1007\/s10898-011-9773-3","journal-title":"J Global Optim"},{"key":"2503_CR42","volume-title":"Convex functions and optimization methods on Riemannians manifolds, Mathematics and its Applications","author":"C Udri\u015fte","year":"1994","unstructured":"Udri\u015fte C (1994) Convex functions and optimization methods on Riemannians manifolds, Mathematics and its Applications, vol 297. Kluwer Academic Publishers Group, Dordrecht"},{"issue":"4","key":"2503_CR43","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1007\/s40305-013-0036-5","volume":"1","author":"Z Wan","year":"2013","unstructured":"Wan Z, Chen JW (2013) On bilevel variational inequalities. J Oper Res Soc China 1(4):483\u2013510. https:\/\/doi.org\/10.1007\/s40305-013-0036-5","journal-title":"J Oper Res Soc China"},{"issue":"12","key":"2503_CR44","doi-asserted-by":"publisher","first-page":"4732","DOI":"10.1016\/j.na.2007.11.025","volume":"69","author":"NC Wong","year":"2008","unstructured":"Wong NC, Sahu DR, Yao JC (2008) Solving variational inequalities involving nonexpansive type mappings. Nonlinear Anal 69(12):4732\u20134753. https:\/\/doi.org\/10.1016\/j.na.2007.11.025","journal-title":"Nonlinear Anal"},{"issue":"1","key":"2503_CR45","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1016\/j.jmaa.2004.04.059","volume":"298","author":"HK Xu","year":"2004","unstructured":"Xu HK (2004) Viscosity approximation methods for nonexpansive mappings. J Math Anal Appl 298(1):279\u2013291. https:\/\/doi.org\/10.1016\/j.jmaa.2004.04.059","journal-title":"J Math Anal Appl"},{"issue":"2","key":"2503_CR46","doi-asserted-by":"publisher","first-page":"463","DOI":"10.11650\/twjm\/1500405802","volume":"14","author":"HK Xu","year":"2010","unstructured":"Xu HK (2010) Viscosity method for hierarchical fixed point approach to variational inequalities. Taiwan J Math 14(2):463\u2013478. https:\/\/doi.org\/10.11650\/twjm\/1500405802","journal-title":"Taiwan J Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-023-02503-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-023-02503-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-023-02503-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,11]],"date-time":"2024-02-11T11:18:06Z","timestamp":1707650286000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-023-02503-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,1]]},"references-count":46,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["2503"],"URL":"https:\/\/doi.org\/10.1007\/s40314-023-02503-7","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,12,1]]},"assertion":[{"value":"18 December 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 October 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 December 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}],"article-number":"1"}}