Abstract and Applied Analysis

A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications

Kasamsuk Ungchittrakool

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Abstract

We prove a strong convergence theorem for a common fixed point of two sequences of strictly pseudocontractive mappings in Hilbert spaces. We also provide some applications of the main theorem to find a common element of the set of fixed points of a strict pseudocontraction and the set of solutions of an equilibrium problem in Hilbert spaces. The results extend and improve the recent ones announced by Marino and Xu (2007) and others.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 876819, 17 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170920

Digital Object Identifier
doi:10.1155/2010/876819

Mathematical Reviews number (MathSciNet)
MR2739684

Zentralblatt MATH identifier
1206.47089

Citation

Ungchittrakool, Kasamsuk. A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications. Abstr. Appl. Anal. 2010 (2010), Article ID 876819, 17 pages. doi:10.1155/2010/876819. https://projecteuclid.org/euclid.aaa/1313170920


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