A New Fixed Point Result Via Property P With an Application
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Date
2017
Journal Title
Journal ISSN
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Publisher
int Scientific Research Publications
Open Access Color
GOLD
Green Open Access
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Abstract
The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.
Description
Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
Contractive mapping, fixed point, partial metric space, property P, integral equations, Nonlinear functional analysis, integral equations, Fixed-point theorems, fixed point, Fixed-point and coincidence theorems (topological aspects), partial metric space, contractive mapping, property P
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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Scopus Q
OpenCitations Citation Count
3
Source
The Journal of Nonlinear Sciences and Applications
Volume
10
Issue
4
Start Page
2066
End Page
2078
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7
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3
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