文献类型：期刊文献

英文题名：Strong convergence of a hybrid projection algorithm for approximation of a common element of three sets in Banach spaces

作者：Ni, Ren-Xing[1]

机构：[1] Shaoxing University, Department of Mathematics, Huancheng West Road No 5, 312000 Shaoxing, China

年份：2013

卷号：12

期号：3

起止页码：296

外文期刊名：WSEAS Transactions on Mathematics

收录：EI(收录号：20132116354427)、Scopus(收录号：2-s2.0-84877812282)

语种：英文

外文关键词：Banach spaces - Iterative methods - Variational techniques

外文摘要：In this paper, we construct a new iterative scheme by hybrid projection method and prove strong convergence theorems for approximation of a common element of set of common fixed points of an infinite family of asymptotically quasi-φ-nonexpansive mappings, set of solutions to a variational inequality problem and set of common solutions to a system of generalized mixed equilibrium problems in a uniformly smooth and 2-uniformly convex real Banach space. Our results extend many important recent results in the literature.