文献类型：期刊文献

英文题名：HYBRID METHODS FOR SPLIT FEASIBILITY PROBLEMS, FIXED POINT PROBLEMS AND ZERO POINTS OF NONLINEAR OPERATORS WITH APPLICATIONS

作者：Wang, Yaqin[1];Chen, Rudong[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Tianjin Polytech Univ, Dept Math, Tianjin 300381, Peoples R China

年份：2016

卷号：17

期号：9

起止页码：1939

外文期刊名：JOURNAL OF NONLINEAR AND CONVEX ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:000386192800019)、、Scopus(收录号：2-s2.0-85012903218)、WOS

基金：The authors are extremely grateful to the referees for their useful suggestions that improved the content of the paper. The first author was supported by the Natural Science Foundation of China (no.11401388) and Zhejiang Provincial Natural Science Foundation of China (no.LQ13A010007). The second author was supported by the National Natural Science Foundation of China (no.11071279).

语种：英文

外文关键词：Split feasibility problem; fixed point problem; maximal monotone operator; strong convergence

外文摘要：In this paper, we propose and analyze a hybrid iterative algorithm for finding a common element of the solution set of a split feasibility problem, the set of common fixed points of an infinite family of strictly pseudo-contractive mappings and the set of zero points of the sum of an inverse-strongly monotone mapping and a maximal monotone operator in infinite-dimensional Hilbert spaces. As applications, we get a new strong convergence result which is connected with split feasibility problems, generalized mixed equilibrium problems and fixed point problems. The results generalize and improve the recent results announced by many other authors.