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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Bibliographic Details
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
<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
set valued mappings
generalized rational type contraction
system of integral equation
Online Access:https://ieeexplore.ieee.org/document/8821280/
Description
Summary: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.
ISSN:2169-3536

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