A projection-type method for solving multi-valued variational inequalities and fixed point problems

被引：2
|
作者：
Zhang, Lixin [1 ]
Fang, Changjie [1 ]
Chen, Shenglan [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing, Peoples R China
来源：
OPTIMIZATION | 2017年 / 66卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Projection-type method; multi-valued variational inequality; theta-strict pseudocontraction; fixed point problem; NONLINEAR MONOTONE EQUATIONS; CONJUGATE-GRADIENT METHOD; BFGS METHOD; CONVERGENCE; ALGORITHM; SEGMENTATION;
D O I：
10.1080/02331934.2017.1373774
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we introduce a projection algorithm for finding a common element of the set Fix(T) of fixed points of a theta-strict pseudocontraction mapping and the set S of solutions of a multi-valued variational inequality problem without monotonicity. We show that the sequence generated by our method is globally convergent to some common element of Fix(T) and S, provided that the mapping F is continuous with nonempty compact convex values. Preliminary numerical experiments are reported.
引用
收藏
页码：2329 / 2344
页数：16
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