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  • Research Article
  • Open Access

On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces

Journal of Inequalities and Applications20072007:017294

  • Received: 15 June 2006
  • Accepted: 20 February 2007
  • Published:


We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the strong convergence of approximate solutions to an exact solution of the equilibrium problem is shown. Furthermore, we give some iterative schemes for solving some generalized mixed variational-like inequalities to illuminate our results.


  • Banach Space
  • Exact Solution
  • Approximate Solution
  • Equilibrium Problem
  • Strong Convergence


Authors’ Affiliations

Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China
Department of Mathematics, Sichuan University of Sciences and Engineering, Zigong, Sichuan, 643033, China
Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6102, Australia


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© Nan-Jing Huang et al. 2007

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