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

Author

Ungchittrakool, Kasamsuk

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-12-06

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Ungchittrakool, Kasamsuk. 2010. A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-505516

Modern Language Association (MLA)

Ungchittrakool, Kasamsuk. A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications. Abstract and Applied Analysis No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-505516

American Medical Association (AMA)

Ungchittrakool, Kasamsuk. A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-505516

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-505516