A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces

Rabian Wangkeeree and Pakkapon Preechasilp

Journal of Applied Mathematics, 2012, vol. 2012, 1-21

Abstract:

We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space. The main result extends various results existing in the current literature.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:154968

DOI: 10.1155/2012/154968

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