Iterative Schemes for Solving Multivalued Equilibrium Problem in Banach Spaces

Wang Yu-cai · Journal of Sichuan Normal University · 2010

In this paper,we introduce the concept of pseudomonotonicity of a multivalued mapping and develop some iterative schemes for finding the approximate solutions of multivalued equilibrium problem in reflexive Banach spaces.We use the concept of pseudomonotonicity to prove the convergence of the approximate solutions to the exact solution of multivalued equilibrium problem.It is worth notice that we do not assume Lipschitz continuity of any mappings in this paper.

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