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

被引：0
|
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
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Split feasibility problem; fixed point problem; maximal monotone operator; strong convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1939 / 1952
页数：14
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