Some Fixed-Point Theorems in <i>b</i>-Dislocated Metric Space and Applications
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
In this article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; Panda, Sumati Kumari/0000-0002-0220-8222
Keywords
fixed point, b-dislocated metric space (simply b-dislocated metric space), F-contraction, non-linear fractional differential equations of Caputo type, b-dislocated metric space (simply b-dislocated metric space), fixed point, non-linear fractional differential equations of Caputo type, F-contraction, Fixed-point theorems, Fixed-point and coincidence theorems (topological aspects), Volterra integral equations, \(F\)-contraction, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, \(b\)-dislocated metric space (simply \(b\)-dislocated metric space), Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
21
Source
Symmetry
Volume
10
Issue
12
Start Page
691
End Page
PlumX Metrics
Citations
CrossRef : 22
Scopus : 27
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Mendeley Readers : 4
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OpenAlex FWCI
5.66271204
Sustainable Development Goals
9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
14
LIFE BELOW WATER
