TITLE:
Strong Convergence of a General Iterative Algorithm for Mixed Equilibrium, Variational Inequality and Common Fixed Points Problems
AUTHORS:
Tanakit Thianwan
KEYWORDS:
Nonexpansive Mapping; Mixed Equilibrium Problem; Variational Inequality; Common Fixed Points; Strong Convergence
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1,
January
29,
2013
ABSTRACT: The aim of this paper, is to introduce and study a general iterative algorithm concerning the new mappings which the sequences generated by our proposed scheme converge strongly to a common element of the set of solutions of a mixed equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of the variational inequality for a relaxed cocoercive mapping in a real Hilbert space. In addition, we obtain some applications by using this result. The results obtained in this paper generalize and refine some known results in the current literature.