Article
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Generalized Contrcations on Dualistic Partial Metric Spaces
Version 1
: Received: 8 August 2016 / Approved: 9 August 2016 / Online: 9 August 2016 (11:28:16 CEST)
How to cite: Nazam, M.; Arshad, M.; Hussain, A. Generalized Contrcations on Dualistic Partial Metric Spaces. Preprints 2016, 2016080095. https://doi.org/10.20944/preprints201608.0095.v1 Nazam, M.; Arshad, M.; Hussain, A. Generalized Contrcations on Dualistic Partial Metric Spaces. Preprints 2016, 2016080095. https://doi.org/10.20944/preprints201608.0095.v1
Abstract
We introduce the notion of generalized contraction on dualistic partial metric spaces. A fixed point theorem for mappings satisfying above mentioned contraction is obtained. Some consequences of our result are obtained. We construct an example to demonstrate the effectiveness of our result among the corresponding results in partial metric spaces. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature. We discuss an application of our fixed point results to show the existence of solution of functional equations.
Keywords
fixed point; dualistic partial metric; generalized contraction
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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