Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 96012, 16 pages
Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem
1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2Department of Applied Mathematics, Baba Ghulam Shah Badshah University, Jammu and Kashmir, Rajouri, India
Received 11 February 2005; Revised 10 September 2005; Accepted 13 September 2005
Copyright © 2006 K. R. Kazmi and M. I. Bhat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.