TITLE:
Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups
AUTHORS:
Hongbo Liu, Yi Li
KEYWORDS:
Hybrid Iterative Algorithm, Uniformly Asymptotically Nonexpansive Semigroups, Equilibrium Problem, Common Fixed Point
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.6,
June
9,
2014
ABSTRACT: Throughout
this paper, we introduce a new hybrid iterative algorithm for finding a common
element of the set of common fixed points of a finite family of uniformly
asymptotically nonexpansive semigroups and the set of solutions of an
equilibrium problem in the framework of Hilbert spaces. We then prove the strong
convergence theorem with respect to the proposed iterative algorithm. Our
results in this paper extend and improve some recent known results.