{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:36:50Z","timestamp":1753886210688,"version":"3.41.2"},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2008,9,22]],"date-time":"2008-09-22T00:00:00Z","timestamp":1222041600000},"content-version":"vor","delay-in-days":265,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["10771173","2008B110012"],"award-info":[{"award-number":["10771173","2008B110012"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation Project of Henan","award":["10771173","2008B110012"],"award-info":[{"award-number":["10771173","2008B110012"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2008,1]]},"abstract":"<jats:p>Let <jats:italic>C<\/jats:italic> be a nonempty closed and convex subset of a Hilbert space <jats:italic>H<\/jats:italic>, let <jats:italic>T<\/jats:italic> and <jats:italic>S<\/jats:italic> : <jats:italic>C<\/jats:italic> \u2192 <jats:italic>C<\/jats:italic> be two commutative generalized asymptotically nonexpansive mappings. We introduce an implicit iteration process of <jats:italic>S<\/jats:italic> and <jats:italic>T<\/jats:italic> defined by , and then prove that {<jats:italic>x<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>} converges strongly to a common fixed point of <jats:italic>S<\/jats:italic> and <jats:italic>T<\/jats:italic>. The results generalize and unify the corresponding results.<\/jats:p>","DOI":"10.1155\/2008\/649510","type":"journal-article","created":{"date-parts":[[2008,12,23]],"date-time":"2008-12-23T14:05:58Z","timestamp":1230041158000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space"],"prefix":"10.1155","volume":"2008","author":[{"given":"Lili","family":"He","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianjun","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2008,9,22]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00251595"},{"key":"e_1_2_5_2_2","first-page":"1511","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 Hebdomadaires des S\u00e9ances de l\u2032Acad\u00e9mie des Sciences. S\u00e9ries A et B"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.2996\/kmj\/1138035962"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/021\/729515"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11761-0"},{"volume-title":"Nonlinear Functional Analysis","year":"1988","author":"Takahashi W.","key":"e_1_2_5_6_2"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01190119"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(94)00278-P"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5398"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2008\/649510.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2008\/649510.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2008\/649510","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T15:22:29Z","timestamp":1719069749000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2008\/649510"}},"subtitle":[],"editor":[{"given":"Petru","family":"Jebelean","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1155\/2008\/649510"],"URL":"https:\/\/doi.org\/10.1155\/2008\/649510","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2008,1]]},"assertion":[{"value":"2008-05-21","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2008-08-14","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2008-09-22","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"649510"}}