Iterative Algorithm for extended mixed equilibrium problem

Abstract

In this paper, we introduce and study an extended mixed equilibrium problem by using auxiliary principle technique. A generalized predictor-corrector iterative algorithm is defined for solving extended mixed equilibrium problem. The convergence of the method mentioned requires some condition (∗), g-relatively relaxed Lipschitz continuity and relatively g-relaxed monotonicity of the mappings.

Keywords

• Equilibrium,algorithm,relatively-relaxed,auxiliary principle

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