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Mathematical Communications, Vol. 17 No. 1, 2012.

Original scientific paper

A modified projective algorithm of common elements for equilibrium problems and fixed point problems in Banach spaces

Haiyun Zhou ; Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, P. R. China
Gailiang Gao ; Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, P. R.
Xinghui Gao ; College of Mathematics and Computer Science, Yanan UniversityYanan 716 000, P. R. China

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page 35-48

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Abstract

In this paper, we consider a modified projective algorithm for
finding common elements of the set of common fixed points of a
finite family of quasi-$\phi$-nonexpansive mappings and the set of
solutions of an equilibrium problem in uniformly smooth and strictly
convex Banach spaces with the property(K). Our results improve and
extend the corresponding results announced by many others.

Keywords

strong convergence; equilibrium problem; quasi-$\phi$-nonexpansive mapping; property(K)

Hrčak ID:

82977

URI

https://hrcak.srce.hr/82977

Publication date:

12.6.2012.

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