# Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem

- KR Kazmi
^{1}Email author and - MI Bhat
^{1, 2}

**2006**:96012

**DOI: **10.1155/FPTA/2006/96012

© K. R. Kazmi and M. I. Bhat. 2006

**Received: **11 February 2005

**Accepted: **13 September 2005

**Published: **1 March 2006

## Abstract

We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasi-variational inequality problem and discuss the convergence analysis and stability of a three-step iterative algorithm for general quasi-variational inequality problem. The theorems presented in this paper generalize, improve, and unify many previously known results in the literature.

## Authors’ Affiliations

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## Copyright

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