2010•Journal of Southwest UniversityRequires access

An Iterative Method for Generalized Mixed Quasi-variational Inequalities and Nonexpansive Mappings

Cao Yu-zhong

Abstract

In this paper,we suggest and analyze an iterative method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of the generalized mixed quasi-variational inequalities.We also study the convergence criteria of iterative methods under some mild conditions.

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Key concepts: Variational inequality, Convergence (economics), Mathematics, Iterative method, Fixed point, Applied mathematics, Set (abstract data type), Mathematical optimization