{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:58:15Z","timestamp":1753883895973,"version":"3.41.2"},"reference-count":29,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T00:00:00Z","timestamp":1340755200000},"content-version":"vor","delay-in-days":178,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100004704","name":"National Research Council of Thailand","doi-asserted-by":"publisher","award":["NRCT-2555"],"award-info":[{"award-number":["NRCT-2555"]}],"id":[{"id":"10.13039\/501100004704","id-type":"DOI","asserted-by":"publisher"}]},{"name":"King Mongkut's University","award":["NRCT-2555"],"award-info":[{"award-number":["NRCT-2555"]}]}],"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>The purpose of this paper is to introduce the modified Halpern\u2010type iterative method by the generalized <jats:italic>f<\/jats:italic>\u2010projection operator for finding a common solution of fixed\u2010point problem of a totally quasi\u2010<jats:italic>\u03d5<\/jats:italic>\u2010asymptotically nonexpansive mapping and a system of equilibrium problems in a uniform smooth and\nstrictly convex Banach space with the Kadec\u2010Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. Our result presented in this paper generalize and improve\nthe result of Chang et al., (2012), and some others.<\/jats:p>","DOI":"10.1155\/2012\/750732","type":"journal-article","created":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T22:10:30Z","timestamp":1340835030000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Modified Halpern\u2010TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi\u2010\u03d5\u2010Asymptotically Nonexpansive Mapping in a Banach Space"],"prefix":"10.1155","volume":"2012","author":[{"given":"Preedaporn","family":"Kanjanasamranwong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Poom","family":"Kumam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Siwaporn","family":"Saewan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,6,27]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1953-0054846-3"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2003.10.010"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02757276"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11864-0"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.01.015"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2010.10.036"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1155\/2008\/528476"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.11.031"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.06.013"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.03.147"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2010.06.006"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.08.021"},{"key":"e_1_2_5_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.08.036"},{"key":"e_1_2_5_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.06.011"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-009-0263-4"},{"key":"e_1_2_5_16_2","first-page":"15","volume-title":"Theory and Applications of Nonlinear Operators of Accretive and Monotone Type","author":"Alber Y. 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