A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups

Shih sen Chang; Chi Kin Chan; Heung Wing Joseph Lee; Li Yang

doi:10.1016/j.amc.2009.12.060

A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups

Shih sen Chang
, Chi Kin Chan
, Heung Wing Joseph Lee
, Li Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

14 Citations (Scopus)

Abstract

The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results.

Original language	English
Pages (from-to)	51-60
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	216
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2009.12.060
Publication status	Published - 1 Mar 2010
Externally published	Yes

Keywords

η-Strongly convex functions
A system of mixed equilibrium problem
An infinite family of strictly pseudocontractive mappings
Fixed point
Nonexpansive mappings

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/j.amc.2009.12.060

Cite this

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abstract = "The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results.",

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A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups. / Chang, Shih sen; Chan, Chi Kin; Lee, Heung Wing Joseph et al.
In: Applied Mathematics and Computation, Vol. 216, No. 1, 01.03.2010, p. 51-60.

Research output: Journal article publication › Journal article › Academic research › peer-review

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AU - Chan, Chi Kin

AU - Lee, Heung Wing Joseph

AU - Yang, Li

PY - 2010/3/1

Y1 - 2010/3/1

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AB - The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results.

KW - η-Strongly convex functions

KW - A system of mixed equilibrium problem

KW - An infinite family of strictly pseudocontractive mappings

KW - Fixed point

KW - Nonexpansive mappings

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DO - 10.1016/j.amc.2009.12.060

M3 - Journal article

SN - 0096-3003

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EP - 60

JO - Applied Mathematics and Computation

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ER -

A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups

Abstract

Keywords

ASJC Scopus subject areas

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