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  • Research Article
  • Open Access

Iterative algorithm for solving mixed quasi-variational-like inequalities with skew-symmetric terms in Banach spaces

Journal of Inequalities and Applications20062006:82695

  • Received: 1 April 2006
  • Accepted: 28 May 2006
  • Published:


We develop an iterative algorithm for computing the approximate solutions of mixed quasi-variational-like inequality problems with skew-symmetric terms in the setting of reflexive Banach spaces. We use Fan-KKM lemma and concept of -cocoercivity of a composition mapping to prove the existence and convergence of approximate solutions to the exact solution of mixed quasi-variational-like inequalities with skew-symmetric terms. Furthermore, we derive the posteriori error estimates for approximate solutions under quite mild conditions.


  • Banach Space
  • Exact Solution
  • Error Estimate
  • Approximate Solution
  • Mild Condition


Authors’ Affiliations

Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China
Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, P.O. Box 1169, Dhahran, 31261, Saudi Arabia
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan


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© Lu-Chuan Ceng et al. 2006

This article is published under license to BioMed Central Ltd. 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.