On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces
Joint Authors
Alotaibi, Abdullah
Mohiuddine, Syed Abdul
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Two concepts—one of the coupled fixed point and the other of the generalized metric space—play a very active role in recent research on the fixed point theory.
The definition of coupled fixed point was introduced by Bhaskar and Lakshmikantham (2006) while the generalized metric space was introduced by Mustafa and Sims (2006).
In this work, we determine some coupled fixed point theorems for mixed monotone mapping satisfying nonlinear contraction in the framework of generalized metric space endowed with partial order.
We also prove the uniqueness of the coupled fixed point for such mappings in this setup.
American Psychological Association (APA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. 2012. On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-506364
Modern Language Association (MLA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-506364
American Medical Association (AMA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered G-Metric Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-506364
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506364