Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications

In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces. For the authenticity of the presented work, examples and applications to the existence of a solution to the Caputo-Fabrizio fractiona...

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Main Authors: Muhammad Sarwar, Sahibzada Waseem Ahmad, Thabet Abdeljawad
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/7816505
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author Muhammad Sarwar
Sahibzada Waseem Ahmad
Thabet Abdeljawad
author_facet Muhammad Sarwar
Sahibzada Waseem Ahmad
Thabet Abdeljawad
author_sort Muhammad Sarwar
collection DOAJ
description In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces. For the authenticity of the presented work, examples and applications to the existence of a solution to the Caputo-Fabrizio fractional derivative and Caputo-Fabrizio fractal-fractional derivative are also discussed.
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spelling doaj-art-9fdffa0a4274489ca34bfc55cbc744092025-08-20T02:20:51ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/78165057816505Fixed-Point Theorems for Rational Interpolative-Type Operators with ApplicationsMuhammad Sarwar0Sahibzada Waseem Ahmad1Thabet Abdeljawad2Department of Mathematics, University of Malakand, Chakdara, Dir(L), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir(L), Khyber Pakhtunkhwa, PakistanPrince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaIn the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces. For the authenticity of the presented work, examples and applications to the existence of a solution to the Caputo-Fabrizio fractional derivative and Caputo-Fabrizio fractal-fractional derivative are also discussed.http://dx.doi.org/10.1155/2020/7816505
spellingShingle Muhammad Sarwar
Sahibzada Waseem Ahmad
Thabet Abdeljawad
Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
Journal of Function Spaces
title Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
title_full Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
title_fullStr Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
title_full_unstemmed Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
title_short Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
title_sort fixed point theorems for rational interpolative type operators with applications
url http://dx.doi.org/10.1155/2020/7816505
work_keys_str_mv AT muhammadsarwar fixedpointtheoremsforrationalinterpolativetypeoperatorswithapplications
AT sahibzadawaseemahmad fixedpointtheoremsforrationalinterpolativetypeoperatorswithapplications
AT thabetabdeljawad fixedpointtheoremsforrationalinterpolativetypeoperatorswithapplications