Fixed Point Theorems for Multi-Valued Contractions in B-Metric Spaces With Applications To Fractional Differential and Integral Equations
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Ieee-inst Electrical Electronics Engineers inc
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
The aim of this manuscript is to establish common fixed points results for multi-valued mappings via generalized rational type contractions in complete b-metric spaces. Using the derived results, existence of solutions to certain integral equations and fractional differential equations in the frame of Caputo fractional derivative are studied. Examples are provided for the authenticity of the presented work.
Description
Keywords
Common Fixed Points, B-Metric Space, Set Valued Mappings, Generalized Rational Type Contraction, System Of Integral Equation, Metric (unit), Economics, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, system of integral equation, generalized rational type contraction, FOS: Mathematics, Fixed-point theorem, Biology, Integral equation, Ecology, Fixed Point Theorems, Fractional calculus, Pure mathematics, Fixed point, Generalized Contractions, Applied mathematics, Multi-valued Mappings, Computer science, <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">b</italic>-metric space, TK1-9971, Operations management, Contractive Mappings, set valued mappings, FOS: Biological sciences, Physical Sciences, Telecommunications, Common fixed points, Electrical engineering. Electronics. Nuclear engineering, Geometry and Topology, Metric space, Type (biology), Mathematics, Frame (networking)
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Shoaib, Muhammad...et al. (2019). "Fixed Point Theorems for Multi-Valued Contractions in b-Metric Spaces With Applications to Fractional Differential and Integral Equations", IEEE Access, Vol. 7, pp. 127373-127383.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
18
Source
IEEE Access
Volume
7
Issue
Start Page
127373
End Page
127383
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Citations
CrossRef : 16
Scopus : 19
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Mendeley Readers : 3
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