A Unique Coupled Common Fixed Point Theorem for Symmetric (Φ, Ψ)-Contractive Mappings in Ordered G-Metric Spaces With Applications
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Date
2013
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Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
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Abstract
We establish the existence and uniqueness of coupled common fixed point for symmetric (phi, psi)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations.
Description
Tas, Kenan/0000-0001-8173-453X; Jain, Manish/0000-0003-1652-8718
Keywords
Metric (unit), Economics, Cone Metric Spaces, Mathematical analysis, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Fixed-point theorem, Fixed Point Theorems, Fixed point, Discrete mathematics, Generalized Contractions, Applied mathematics, Computer science, Algorithm, Operations management, Contractive Mappings, Physical Sciences, Geometry and Topology, Uniqueness, Metric space, Mathematics
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jain, M.; Taş, K., "A Unique Coupled Common Fixed Point Theorem for Symmetric (P,P) -Contractive Mappings in Ordered G -Metric Spaces With Applications", Journal of Applied Mathematics, Vol. 2013, (2013).
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
1
Source
Journal of Applied Mathematics
Volume
2013
Issue
Start Page
1
End Page
13
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3
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