Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces

الملخص EN

We introduce a new iterative algorithm for approximating a common element of the setof solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion,and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space.

Strongconvergence of the proposed iterative algorithm is obtained.

Our results generalize, extend, and improvethe results of Peng and Yao, 2009, Qin et al.

2010 and many authors.