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Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems
Joint Authors
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in metric spaces satisfying an implicit function essentially due to the paper of Ali and Imdad (2008).
As an application to our main result, we derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings.
Our results improve and extend a host of previously known results including the ones contained in the paper of Ali and Imdad (2008).
We also furnish some illustrative examples to support our main results.
American Psychological Association (APA)
Imdad, Mohammad& Chauhan, Sunny. 2013. Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-496876
Modern Language Association (MLA)
Imdad, Mohammad& Chauhan, Sunny. Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems. International Journal of Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-496876
American Medical Association (AMA)
Imdad, Mohammad& Chauhan, Sunny. Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-496876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496876