# Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces

JEONG, JAE UG

• Accepted : 2015.07.13
• Published : 2015.12.23
• 17 7

#### Abstract

In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an ${\eta}$-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.

#### Keywords

Nonexpansive mapping;strictly pseudo-contractive mapping;variational inequality;uniformly convex

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#### Acknowledgement

Supported by : Dong-eui University