{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:56:44Z","timestamp":1759838204076},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,6,22]],"date-time":"2016-06-22T00:00:00Z","timestamp":1466553600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2017,2]]},"DOI":"10.1007\/s11075-016-0164-1","type":"journal-article","created":{"date-parts":[[2016,6,22]],"date-time":"2016-06-22T21:18:09Z","timestamp":1466630289000},"page":"609-635","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A hybrid viscosity iterative method with averaged mappings for split equilibrium problems and fixed point problems"],"prefix":"10.1007","volume":"74","author":[{"given":"P.","family":"Majee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.","family":"Nahak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,6,22]]},"reference":[{"issue":"1","key":"164_CR1","first-page":"123","volume":"63","author":"E Blum","year":"1994","unstructured":"Blum, E., Oettli, W.: From optimization and variational inequalities to equilibrium problems. Mathematics Student-India 63(1), 123\u2013145 (1994)","journal-title":"Mathematics Student-India"},{"issue":"3","key":"164_CR2","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/s10957-011-9890-7","volume":"151","author":"N Buong","year":"2011","unstructured":"Buong, N., Duong, L.T.: An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces. J. Optim. Theory Appl. 151(3), 513\u2013524 (2011)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"164_CR3","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1088\/0266-5611\/20\/1\/006","volume":"20","author":"C Byrne","year":"2004","unstructured":"Byrne, C.: A unified treatment of some iterative algorithms in signal processing and image reconstruction. Inverse Prob. 20(1), 103 (2004)","journal-title":"Inverse Prob."},{"issue":"2","key":"164_CR4","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s11075-011-9490-5","volume":"59","author":"Y Censor","year":"2012","unstructured":"Censor, Y., Gibali, A., Reich, S.: Algorithms for the split variational inequality problem. Numerical Algorithms 59(2), 301\u2013323 (2012)","journal-title":"Numerical Algorithms"},{"key":"164_CR5","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1155\/2010\/383740","volume":"2010","author":"F Cianciaruso","year":"2009","unstructured":"Cianciaruso, F., Marino, G., Muglia, L., Yao, Y., Khamsi, M.A.: A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem. Fixed Point Theory and Applications 2010, 30 (2009)","journal-title":"Fixed Point Theory and Applications"},{"issue":"1","key":"164_CR6","first-page":"117","volume":"6","author":"PL Combettes","year":"2005","unstructured":"Combettes, P.L., Hirstoaga, S.A.: Equilibrium programming in Hilbert spaces. Journal of Nonlinear and Convex Analalysis 6(1), 117\u2013136 (2005)","journal-title":"Journal of Nonlinear and Convex Analalysis"},{"key":"164_CR7","doi-asserted-by":"crossref","unstructured":"Fan, B.: A hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities. Numerical Algorithms, 1\u201317 (2015)","DOI":"10.1007\/s11075-014-9956-3"},{"key":"164_CR8","doi-asserted-by":"crossref","unstructured":"Goebel, K., Kirk, W.A.: Topics in metric fixed point theory, vol. 28. Cambridge University Press (1990)","DOI":"10.1017\/CBO9780511526152"},{"key":"164_CR9","doi-asserted-by":"crossref","unstructured":"Halpern, B.: Fixed points of nonexpanding maps. Bull. Am. Math. Soc. 73 (1967) (1967)","DOI":"10.1090\/S0002-9904-1967-11864-0"},{"key":"164_CR10","doi-asserted-by":"crossref","unstructured":"Liu, Y.: A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces. Nonlinear Anal. Theory Methods Appl. 71 (10), 4852\u20134861 (2009)","DOI":"10.1016\/j.na.2009.03.060"},{"issue":"1","key":"164_CR11","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.jmaa.2005.05.028","volume":"318","author":"G Marino","year":"2006","unstructured":"Marino, G., Xu, H.K.: A general iterative method for nonexpansive mappings in Hilbert spaces. J. Math. Anal. Appl. 318(1), 43\u201352 (2006)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"164_CR12","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1006\/jmaa.1999.6615","volume":"241","author":"A Moudafi","year":"2000","unstructured":"Moudafi, A.: Viscosity approximation methods for fixed-points problems. J. Math. Anal. Appl. 241(1), 46\u201355 (2000)","journal-title":"J. Math. Anal. Appl."},{"issue":"5","key":"164_CR13","doi-asserted-by":"crossref","first-page":"055,007","DOI":"10.1088\/0266-5611\/26\/5\/055007","volume":"26","author":"A Moudafi","year":"2010","unstructured":"Moudafi, A.: The split common fixed-point problem for demicontractive mappings. Inverse Prob. 26(5), 055,007 (2010)","journal-title":"Inverse Prob."},{"issue":"2","key":"164_CR14","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/s10957-011-9814-6","volume":"150","author":"A Moudafi","year":"2011","unstructured":"Moudafi, A.: Split monotone variational inclusions. J. Optim. Theory Appl. 150(2), 275\u2013283 (2011)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"164_CR15","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/j.jmaa.2007.02.044","volume":"336","author":"S Plubtieng","year":"2007","unstructured":"Plubtieng, S., Punpaeng, R.: A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces. J. Math. Anal. Appl. 336(1), 455\u2013469 (2007)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"164_CR16","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/j.jmaa.2004.11.017","volume":"305","author":"T Suzuki","year":"2005","unstructured":"Suzuki, T.: Strong convergence of krasnoselskii and mann\u2019s type sequences for one-parameter nonexpansive semigroups without bochner integrals. J. Math. Anal. Appl. 305(1), 227\u2013239 (2005)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"164_CR17","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1016\/j.jmaa.2006.08.036","volume":"331","author":"S Takahashi","year":"2007","unstructured":"Takahashi, S., Takahashi, W.: Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces. J. Math. Anal. Appl. 331(1), 506\u2013515 (2007)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"164_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1687-1812-2012-1","volume":"2012","author":"DJ Wen","year":"2012","unstructured":"Wen, D.J., Chen, Y.A.: General iterative methods for generalized equilibrium problems and fixed point problems of k-strict pseudo-contractions. Fixed Point Theory and Applications 2012(1), 1\u201315 (2012)","journal-title":"Fixed Point Theory and Applications"},{"issue":"3","key":"164_CR19","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1023\/A:1023073621589","volume":"116","author":"HK Xu","year":"2003","unstructured":"Xu, H.K.: An iterative approach to quadratic optimization. J. Optim. Theory Appl. 116(3), 659\u2013678 (2003)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"164_CR20","doi-asserted-by":"crossref","first-page":"456","DOI":"10.1016\/j.na.2007.05.032","volume":"69","author":"H Zhou","year":"2008","unstructured":"Zhou, H.: Convergence theorems of fixed points for \u03ba-strict pseudo-contractions in Hilbert spaces. Nonlinear Anal. Theory Methods Appl. 69 (2), 456\u2013462 (2008)","journal-title":"Nonlinear Anal. Theory Methods Appl."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0164-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-016-0164-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0164-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0164-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,18]],"date-time":"2023-08-18T23:59:52Z","timestamp":1692403192000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-016-0164-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,22]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,2]]}},"alternative-id":["164"],"URL":"https:\/\/doi.org\/10.1007\/s11075-016-0164-1","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,22]]}}}