A generalized weak contraction principle with applications to coupled coincidence point problems

In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order. Our theorems extend several existing results in the current literature. We also discuss several corollaries...

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Bibliographic Details
Published in:Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2013; no. 1
Main Authors: Choudhury, Binayak S, Metiya, Nikhilesh, Postolache, Mihai
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 11.06.2013
Subjects:
Analysis
Applications of Mathematics
Boundary Value Problems
Differential Geometry
Fixed Point Theory and Applications
General Inequalities
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Recent Advances in Operator Equations
Topology
partially ordered set
coupled coincidence point
coincidence point
control function
ISSN:1687-1812, 1687-1812
Online Access:Get full text
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Summary:In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order. Our theorems extend several existing results in the current literature. We also discuss several corollaries and give illustrative examples. We apply our result to obtain some coupled coincidence point results which effectively generalize a number of established results. MSC: 54H10, 54H25.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2013-152