Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems

Abdul Latif, Abdullah Al-Mazrooei, Abdulaziz SM Alofi, Jen‐Chih Yao · Fixed Point Theory and Applications · 2014

In this paper, we introduce and analyze an iterative algorithm by the hybrid iterative method for finding a solution of the system of generalized equilibrium problems with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inclusions, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space.Weak convergence result under mild assumptions will be established.

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