A Generalized Mean Proximal Algorithm for Solving Generalized Mixed Equilibrium Problems
نویسنده
چکیده
In a recent paper [14], the fixed point and resolvent techniques have been used to give an iterative algorithm for solving generalized mixed equilibrium problem (GMEP). In this paper, an extended iterative algorithm, called generalized mean proximal algorithm (GMPA) is presented and its convergence to the solution of GMEP with θ-pseudomonotne and δLipschitz continuous mappings in Hilbert spaces is proved. Our approach is based on the basic notions of generalized resolvents and fixed points. The results improve and extend important recent results.
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