Existence and approximation of solutions for generalized extended nonlinear variational inequalities

Journal of inequalities and applications

Balwant Singh Thakur¹ 

关键词: generalized extended nonlinear variational inequality;    fixed point problem;    relaxed monotone operator;    relaxed cocoercive mapping;    nonexpansive mapping;   

DOI  :  10.1186/1029-242X-2013-590

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47J20, 65K10, 65K15, 90C33.

【 授权许可】

CC BY