Skip to the main content

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

Original scientific paper

Iterative approximation of common fixed points for two quasi-$\phi$-nonexpansive mappings in Banach spaces

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

Full text: english pdf 234 Kb

page 49-62

downloads: 617

cite

Abstract

In this paper, we introduce a new type of a projective algorithm for a
pair of quasi-$\phi$-nonexpansive mappings. We establish strong
convergence theorems of common fixed points 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; modified projection algorithm; quasi-$\phi$-nonexpansive mapping; property(K)

Hrčak ID:

82981

URI

https://hrcak.srce.hr/82981

Publication date:

12.6.2012.

Visits: 1.343 *