Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity.
The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings.
We demonstrate that weak reciprocal continuity ensures the existence of common fixed points under contractive conditions, which otherwise do not ensure the existence of fixed points.
Our results generalize and extend Banach contraction principle and Meir-Keeler-type fixed point theorem.
American Psychological Association (APA)
Bisht, R. K.. 2012. Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-498043
Modern Language Association (MLA)
Bisht, R. K.. Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-498043
American Medical Association (AMA)
Bisht, R. K.. Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-498043
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498043