Coupled Fixed Point Theorems for (φ,ψ)-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications
Joint Authors
Gupta, Neetu
Jain, Manish
Kumar, Sanjay
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The object of this paper is to establish the existence and uniqueness of coupled fixed points under a (φ, ψ)-contractive condition for mixed monotone operators in the setup of partially ordered metric spaces.
Presented work generalizes the recent results of Berinde (2011, 2012) and weakens the contractive conditions involved in the well-known results of Bhaskar and Lakshmikantham (2006), and Luong and Thuan (2011).
The effectiveness of our work is validated with the help of a suitable example.
As an application, we give a result of existence and uniqueness for the solutions of a class of nonlinear integral equations.
American Psychological Association (APA)
Jain, Manish& Gupta, Neetu& Kumar, Sanjay. 2014. Coupled Fixed Point Theorems for (φ,ψ)-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-482905
Modern Language Association (MLA)
Jain, Manish…[et al.]. Coupled Fixed Point Theorems for (φ,ψ)-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications. International Journal of Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-482905
American Medical Association (AMA)
Jain, Manish& Gupta, Neetu& Kumar, Sanjay. Coupled Fixed Point Theorems for (φ,ψ)-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-482905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482905