Some Fixed Point Results Via Measure of Noncompactness
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Date
2017
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int Scientific Research Publications
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GOLD
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Abstract
In this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker phi-Meir-Keeler type contractions, asymptotic weaker phi-Meir-Keeler type contractions, asymptotic sequence {phi(i)}-Meir-Keeler type contraction, xi-generalized comparison type contraction, and R-functional type psi-contractions. Our results improve and hence cover the well-known Darbo's fixed point theorem, and several related recent fixed point results. (C) 2017 All rights reserved.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
Measure of noncompactness, Meir-Keeler-type set contraction, fixed points, Fixed-point theorems, Fixed-point and coincidence theorems (topological aspects), fixed points, measure of noncompactness, Meir-Keeler-type set contraction
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Fields of Science
0101 mathematics, 01 natural sciences
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Source
The Journal of Nonlinear Sciences and Applications
Volume
10
Issue
7
Start Page
4015
End Page
4024
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