{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:11Z","timestamp":1753881191867,"version":"3.41.2"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,9,11]],"date-time":"2011-09-11T00:00:00Z","timestamp":1315699200000},"content-version":"vor","delay-in-days":253,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100012527","name":"Office of the Higher Education Commission","doi-asserted-by":"crossref","award":["10801006","1097055","NRCT 2010-2011"],"award-info":[{"award-number":["10801006","1097055","NRCT 2010-2011"]}],"id":[{"id":"10.13039\/100012527","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Research University Project of Thailand","award":["10801006","1097055","NRCT 2010-2011"],"award-info":[{"award-number":["10801006","1097055","NRCT 2010-2011"]}]},{"DOI":"10.13039\/501100004704","name":"National Research Council of Thailand","doi-asserted-by":"publisher","award":["10801006","1097055","NRCT 2010-2011"],"award-info":[{"award-number":["10801006","1097055","NRCT 2010-2011"]}],"id":[{"id":"10.13039\/501100004704","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":[[2011,1]]},"abstract":"<jats:p>We introduce a new iterative scheme by shrinking projection method for finding a common\nelement of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of\nvariational inclusion problems with set\u2010valued maximal monotone mappings and inverse\u2010strongly monotone\nmappings, the set of solutions of fixed points for nonexpansive semigroups, and the set of common fixed\npoints for an infinite family of strictly pseudocontractive mappings in a real Hilbert space. We prove that\nthe sequence converges strongly to a common element of the above four sets under some mind conditions. \nFurthermore, by using the above result, an iterative algorithm for solution of an optimization problem was\nobtained. Our results improve and extend the corresponding results of Martinez\u2010Yanes and Xu  (2006), Shehu\n(2011), Zhang et al. (2008), and many authors.<\/jats:p>","DOI":"10.1155\/2011\/953903","type":"journal-article","created":{"date-parts":[[2011,9,11]],"date-time":"2011-09-11T19:03:43Z","timestamp":1315767823000},"update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings"],"prefix":"10.1155","volume":"2011","author":[{"given":"Poom","family":"Kumam","sequence":"first","affiliation":[]},{"given":"Usa","family":"Hamphries","sequence":"additional","affiliation":[]},{"given":"Phayap","family":"Katchang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,9,11]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90085-6"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526152"},{"key":"e_1_2_6_3_2","series-title":"North-Holland Mathematics Studies, no. 5. 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