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We prove that the common fixed point set of any commuting family of asymptotic pointwise nonexpansive mappings on <jats:italic>C<\/jats:italic> is nonempty closed and convex. We also show that, under some suitable conditions, the sequence  defined by , converges to a common fixed point of <jats:italic>T<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>T<\/jats:italic><jats:sub>2<\/jats:sub>, \u2026, <jats:italic>T<\/jats:italic><jats:sub><jats:italic>m<\/jats:italic><\/jats:sub> where they are asymptotic pointwise nonexpansive mappings on <jats:italic>C<\/jats:italic>,  are sequences in [0,1] for all <jats:italic>i<\/jats:italic> = 1,2, \u2026, <jats:italic>m,<\/jats:italic> and {<jats:italic>n<\/jats:italic><jats:sub><jats:italic>k<\/jats:italic><\/jats:sub>} is an increasing sequence of natural numbers. The related results for uniformly convex Banach spaces are also included.<\/jats:p>","DOI":"10.1155\/2012\/327434","type":"journal-article","created":{"date-parts":[[2012,2,20]],"date-time":"2012-02-20T21:01:51Z","timestamp":1329771711000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces"],"prefix":"10.1155","volume":"2012","author":[{"given":"P.","family":"Pasom","sequence":"first","affiliation":[]},{"given":"B.","family":"Panyanak","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,20]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_7_1_2","DOI":"10.1016\/j.na.2007.11.023"},{"doi-asserted-by":"publisher","key":"e_1_2_7_2_2","DOI":"10.1016\/j.na.2009.02.126"},{"doi-asserted-by":"publisher","key":"e_1_2_7_3_2","DOI":"10.1016\/j.jmaa.2010.10.026"},{"doi-asserted-by":"publisher","key":"e_1_2_7_4_2","DOI":"10.1016\/j.jmaa.2007.06.051"},{"doi-asserted-by":"publisher","key":"e_1_2_7_5_2","DOI":"10.1007\/978-3-662-12494-9"},{"doi-asserted-by":"publisher","key":"e_1_2_7_6_2","DOI":"10.1155\/S1687182004406081"},{"doi-asserted-by":"publisher","key":"e_1_2_7_7_2","DOI":"10.1007\/978-1-4612-1019-1"},{"key":"e_1_2_7_8_2","series-title":"Monographs and Textbooks in Pure and Applied Mathematics","volume-title":"Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings","author":"Goebel K.","year":"1984"},{"key":"e_1_2_7_9_2","series-title":"Colecc. 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