An Iterative Algorithm for Generalized Mixed Equilibria with Variational Inequalities
نویسندگان
چکیده
In this paper, we shall introduce an iterative algorithm by multi-step implicit hybrid steepestdescent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a countable family of nonexpansive mappings in a real Hilbert space. We also prove strong and weak convergence theorems for the proposed iterative algorithm under appropriate conditions. Our results improve and extend the earlier and recent results in the literature.
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