{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:49Z","timestamp":1753881229477,"version":"3.41.2"},"reference-count":49,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,6,28]],"date-time":"2012-06-28T00:00:00Z","timestamp":1340841600000},"content-version":"vor","delay-in-days":179,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001868","name":"National Science Council","doi-asserted-by":"publisher","award":["NSC 100-2221-E-230-012","11071279","71161001-G0105"],"award-info":[{"award-number":["NSC 100-2221-E-230-012","11071279","71161001-G0105"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["NSC 100-2221-E-230-012","11071279","71161001-G0105"],"award-info":[{"award-number":["NSC 100-2221-E-230-012","11071279","71161001-G0105"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["NSC 100-2221-E-230-012","11071279","71161001-G0105"],"award-info":[{"award-number":["NSC 100-2221-E-230-012","11071279","71161001-G0105"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Two hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literature.<\/jats:p>","DOI":"10.1155\/2012\/634927","type":"journal-article","created":{"date-parts":[[2012,6,28]],"date-time":"2012-06-28T21:00:47Z","timestamp":1340917247000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities"],"prefix":"10.1155","volume":"2012","author":[{"given":"Peixia","family":"Yang","sequence":"first","affiliation":[]},{"given":"Yonghong","family":"Yao","sequence":"additional","affiliation":[]},{"given":"Yeong-Cheng","family":"Liou","sequence":"additional","affiliation":[]},{"given":"Rudong","family":"Chen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,6,28]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00251595"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11864-0"},{"key":"e_1_2_5_3_2","first-page":"A1511","article-title":"Un th\u00e9or\u00e8me de type ergodique pour les contractions non lin\u00e9aires dans un espace de Hilbert","volume":"280","author":"Baillon J.-B.","year":"1975","journal-title":"Comptes Rendus de l\u2032Acad\u00e9mie des Sciences"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1976-14233-4"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(77)90003-2"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.05.028"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1999.6615"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.11.057"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.12.066"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-97-04033-1"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.08.028"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2011.10.041"},{"key":"e_1_2_5_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-011-0286-2"},{"key":"e_1_2_5_14_2","article-title":"New methods with perturbations for non-expansive mappings in Hilbert spaces","volume":"2011","author":"Yao Y.","year":"2011","journal-title":"Fixed Point Theory and Applications"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.08.062"},{"key":"e_1_2_5_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.04.014"},{"key":"e_1_2_5_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.10.004"},{"key":"e_1_2_5_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.06.016"},{"key":"e_1_2_5_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-009-9628-y"},{"key":"e_1_2_5_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.06.056"},{"key":"e_1_2_5_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2010.02.031"},{"key":"e_1_2_5_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.07.041"},{"key":"e_1_2_5_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.07.008"},{"key":"e_1_2_5_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1570-579X(01)80028-8"},{"key":"e_1_2_5_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.01.087"},{"key":"e_1_2_5_26_2","doi-asserted-by":"crossref","DOI":"10.1186\/1687-1812-2011-3","article-title":"Convergence and weaker control conditions for hybrid iterative algorithms","volume":"2011","author":"Wang S.","year":"2011","journal-title":"Fixed Point Theory and Applications"},{"key":"e_1_2_5_27_2","doi-asserted-by":"publisher","DOI":"10.1155\/FPTA.2005.103"},{"key":"e_1_2_5_28_2","unstructured":"StampacchiaG. Formes bilin\u00e9aires coercitives sur les ensembles convexes 1964 258 4413\u20134416 0166591 ZBL0124.06401."},{"key":"e_1_2_5_29_2","unstructured":"LionsP.-L. Approximation de points fixes de contractions 1977 284 no. 21 A1357\u2013A1359 0470770 ZBL0349.47046."},{"key":"e_1_2_5_30_2","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000005048.79379.b6"},{"volume-title":"Qualitative Methods on Nonlinear Mechanics","year":"1986","author":"Oden J. T.","key":"e_1_2_5_31_2"},{"key":"e_1_2_5_32_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5020-3","volume-title":"Nonlinear Functional Analysis and Its Applications: Variational Methods and Optimization","author":"Zeidler E.","year":"1985"},{"key":"e_1_2_5_33_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00047211"},{"key":"e_1_2_5_34_2","first-page":"331","article-title":"Some unified algorithms for finding minimum norm fixed point of nonexpansive semigroups in Hilbert spaces","volume":"19","author":"Yao Y.","year":"2011","journal-title":"Analele Stiintifice ale Universitatii Ovidius Constanta"},{"key":"e_1_2_5_35_2","unstructured":"YaoY. LiouY. C. andKangS. M. Two-step projection methods for a systemof variational inequality problems in Banach spaces Journal of Global Optimization. In press."},{"key":"e_1_2_5_36_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/817436"},{"key":"e_1_2_5_37_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/768272"},{"key":"e_1_2_5_38_2","doi-asserted-by":"publisher","DOI":"10.1080\/01630560802418391"},{"key":"e_1_2_5_39_2","first-page":"203","article-title":"Approximation of common fixed points and variational solutions for one-parameter family of Lipschitz pseudocontractions","volume":"11","author":"Ceng L.-C.","year":"2010","journal-title":"Fixed Point Theory"},{"key":"e_1_2_5_40_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-009-9581-9"},{"key":"e_1_2_5_41_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.01.015"},{"key":"e_1_2_5_42_2","doi-asserted-by":"publisher","DOI":"10.1080\/01630569808816813"},{"key":"e_1_2_5_43_2","series-title":"Scientific Computation","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12613-4","volume-title":"Numerical Methods for Nonlinear Variational Problems","author":"Glowinski R.","year":"1984"},{"key":"e_1_2_5_44_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00558-7"},{"volume-title":"Introduction to Nonlinear and Convex Analysis","year":"2009","author":"Takahashi W.","key":"e_1_2_5_45_2"},{"key":"e_1_2_5_46_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00458-4"},{"volume-title":"Topics in Metric Fixed Point Theory","series-title":"Cambridge Studies in Advanced Mathematics","author":"Geobel K.","key":"e_1_2_5_47_2"},{"key":"e_1_2_5_48_2","doi-asserted-by":"crossref","DOI":"10.1155\/2010\/852030","article-title":"Two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces","volume":"2010","author":"Wang S.","year":"2010","journal-title":"Fixed Point Theory and Applications"},{"key":"e_1_2_5_49_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-006-9002-7"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/634927.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/634927.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/634927","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:20:49Z","timestamp":1718090449000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/634927"}},"subtitle":[],"editor":[{"given":"Giuseppe","family":"Marino","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":49,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/634927"],"URL":"https:\/\/doi.org\/10.1155\/2012\/634927","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-03-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-04-30","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-06-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"634927"}}