Hybrid Viscosity Iterative Method for Fixed Point, Variational Inequality and Equilibrium Problems

Yi‐An Chen, Yiping Zhang · Fixed Point Theory and Applications · 2010

Abstract We introduce an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, and the fixed points set of infinitely many nonexpansive mappings in a Hilbert space. Then we prove our main result under some suitable conditions.

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