Existence and approximation of solutions for generalized extended nonlinear variational inequalities

被引：35
|
作者：
Thakur, Balwant Singh [1 ]
Postolache, Mihai [2 ]
机构：
[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, Madhya Pradesh, India
[2] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
generalized extended nonlinear variational inequality; fixed point problem; relaxed monotone operator; relaxed cocoercive mapping; nonexpansive mapping; FIXED-POINT THEOREMS; MONOTONE-OPERATORS; BANACH SPACES; MAPPINGS; SUM; ITERATION;
D O I：
10.1186/1029-242X-2013-590
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem. We study criteria for existence of their solutions. Iterative methods for finding approximate solutions are also proposed and analyzed.
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页数：13
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