EXTRAGRADIENT METHODS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES

Jong Kyu Kim, Salahuddin Salahuddin · Nonlinear functional analysis and applications · 2017

In this paper, we suggest an iterative schemes on extragradient methods for finding a common element of the set of solutions of generalized mixed equilibrium problems and fixed points of a nonexpansive mappings, and the set of solutions of a variational inequality problems for inverse strongly monotone mappings. We prove the convergence theorems for the sequences generated by these iterative process in Hilbert spaces.

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