文献类型：期刊文献

英文题名：Strong convergence theorems for equilibrium problems and asymptotically quasi-phi-nonexpansive mappings in the intermediate sense

作者：Ni, Ren-Xing[1,2];Jin, Jian-Shuai[1,2];Wen, Ching-Feng[3]

机构：[1]Shaoxing Univ, Dept Math, Jinhua 312000, Zhejiang, Peoples R China;[2]Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China;[3]Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan

年份：2015

外文期刊名：FIXED POINT THEORY AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000360627800003)、、Scopus(收录号：2-s2.0-84941211790)、WOS

基金：The research of the first author was partially supported by the National Natural Science Foundation of China (Grant No. 10971194). The research of the third author was partially supported by the grant MOST 104-2115-M-037-001.

语种：英文

外文关键词：asymptotically quasi-phi-nonexpansive mapping in the intermediate sense; generalized projection; equilibrium problem; relaxed eta-alpha-monotone; fixed point

外文摘要：In this paper, we investigate common solutions to a family of mixed equilibrium problems with a relaxed eta-alpha-monotone mapping and a nonlinear operator equation involving an infinite family of asymptotically quasi-phi-nonexpansive mappings in the intermediate sense. Strong convergence theorems of common solutions are established in a strictly convex and uniformly smooth Banach space. These results extend many important recent ones in the literature.