A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems
نویسندگان
چکیده
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mappings and inverse-strongly monotone mappings, and the set of fixed points of a family of finitely nonexpansive mappings in the setting of Hilbert spaces. We propose a new iterative scheme for finding the common element of the above three sets. Our results improve and extend the corresponding results of the works by Zhang et al. 2008 , Peng et al. 2008 , Peng and Yao 2009 , as well as Plubtieng and Sriprad 2009 and some well-known results in the literature.
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