Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations

Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations

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...

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Main Authors: Muhammad Shoaib, Thabet Abdeljawad, Muhammad Sarwar, Fahd Jarad
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Common fixed points
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set valued mappings
generalized rational type contraction
system of integral equation
Online Access:https://ieeexplore.ieee.org/document/8821280/
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spelling doaj-1124661b79ea4ce5afb6e16d3552ea5c2021-04-05T17:09:01ZengIEEEIEEE Access2169-35362019-01-01712737312738310.1109/ACCESS.2019.29386358821280Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral EquationsMuhammad Shoaib0Thabet Abdeljawad1Muhammad Sarwar2Fahd Jarad3https://orcid.org/0000-0002-3303-0623Department of Mathematics, University of Malakand, Chakdara Dir(L), PakistanDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics, University of Malakand, Chakdara Dir(L), PakistanDepartment of Mathematics, &#x00C7;ankaya University, Ankara, TurkeyThe 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.https://ieeexplore.ieee.org/document/8821280/Common fixed points<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 spaceset valued mappingsgeneralized rational type contractionsystem of integral equation
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Shoaib
Thabet Abdeljawad
Muhammad Sarwar
Fahd Jarad
spellingShingle Muhammad Shoaib
Thabet Abdeljawad
Muhammad Sarwar
Fahd Jarad
Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
IEEE Access
Common fixed points
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set valued mappings
generalized rational type contraction
system of integral equation
author_facet Muhammad Shoaib
Thabet Abdeljawad
Muhammad Sarwar
Fahd Jarad
author_sort Muhammad Shoaib
title Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
title_short Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
title_full Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
title_fullStr Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
title_full_unstemmed Fixed Point Theorems for Multi-Valued Contractions in <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-Metric Spaces With Applications to Fractional Differential and Integral Equations
title_sort fixed point theorems for multi-valued contractions in <inline-formula> <tex-math notation="latex">$b$ </tex-math></inline-formula>-metric spaces with applications to fractional differential and integral equations
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2019-01-01
description 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.
topic Common fixed points
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set valued mappings
generalized rational type contraction
system of integral equation
url https://ieeexplore.ieee.org/document/8821280/
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AT muhammadsarwar fixedpointtheoremsformultivaluedcontractionsininlineformulatexmathnotationlatexbtexmathinlineformulametricspaceswithapplicationstofractionaldifferentialandintegralequations
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