Original scientific paper
A new iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contractive mappings and its application
Zhenhua He
; Department of Mathematics, Honghe University, Mengzi, Yunnan, P.R. China
Abstract
In this paper, we introduce a new iterative scheme for finding a
common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family strict pseudo-contraction
mappings in a real Hilbert space. Some strong convergence theorems
are established using the iterative scheme. In the meantime, we
successfully apply these Theorems to find a common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family of non-expansive mappings in a real Hilbert space. The
results in this paper improve the corresponding ones of [3,6] and
references therein.
Keywords
strong convergence; strict pseudo-contraction mapping; equilibrium problem; fixed point
Hrčak ID:
93237
URI
Publication date:
5.12.2012.
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