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

Fixed Point Theory and Applications volume 2006, Article number: 96012 (2006) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    KR Kazmi & MI Bhat

  2. Department of Applied Mathematics, Baba Ghulam Shah Badshah University, Rajouri, Jammu and Kashmir, India

    MI Bhat

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  1. KR Kazmi
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  2. MI Bhat
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Correspondence to KR Kazmi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kazmi, K., Bhat, M. Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem. Fixed Point Theory Appl 2006, 96012 (2006). https://doi.org/10.1155/FPTA/2006/96012

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