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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20062006:96012

https://doi.org/10.1155/FPTA/2006/96012

  • Received: 11 February 2005
  • Accepted: 13 September 2005
  • Published:

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.

Keywords

  • Banach Space
  • Differential Geometry
  • Iterative Algorithm
  • Point Method
  • Convergence Analysis

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Authors’ Affiliations

(1)
Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
(2)
Department of Applied Mathematics, Baba Ghulam Shah Badshah University, Rajouri, Jammu and Kashmir, India

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