Fixed point problems and a system of generalized nonlinear mixed variational inequalities

被引：1

作者：

Petrot, Narin ^{[1
,2
]}

Balooee, Javad ^{[3
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

[3] Islamic Azad Univ, Sari Branch, Dept Math, Sari, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

system of generalized mixed variational inequalities; fixed point problems; nearly uniformly Lipschitzian mapping; three-step resolvent iterative algorithm; convergence; PROJECTION METHODS; NONEXPANSIVE-MAPPINGS; ALGORITHMS; OPERATORS; THEOREM; SPACES;

D O I：

10.1186/1687-1812-2013-186

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and consider a new system of generalized nonlinear mixed variational inequalities involving six different nonlinear operators and discuss the existence and uniqueness of solution of the aforesaid system. We use three nearly uniformly Lipschitzian mappings () to suggest and analyze some new three-step resolvent iterative algorithms with mixed errors for finding an element of the set of fixed points of the nearly uniformly Lipschitzian mapping , which is the unique solution of the system of generalized nonlinear mixed variational inequalities. The convergence analysis of the suggested iterative algorithms under suitable conditions is studied. In the final section, an important remark on a class of some relaxed cocoercive mappings is discussed.

引用

页数：21

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