Fixed Point Results via ? -Admissibility in Extended Fuzzy Rectangular b -Metric Spaces with Applications to Integral Equations

Badshah-e-Rome, Muhammad Sarwar and Rosana Rodríguez-López
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Badshah-e-Rome: Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, Pakistan
Muhammad Sarwar: Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, Pakistan
Rosana Rodríguez-López: Instituto de Matemáticas and Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Mathematics, 2021, vol. 9, issue 16, 1-18

Abstract: In this article, the concept of extended fuzzy rectangular b -metric space (EFR b MS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via ? -admissibility in the setting of EFR b MS. For the illustration of the work presented, some supporting examples and an application to the existence of solutions for a class of integral equations are also discussed.

Keywords: extended fuzzy rectangular b -metric spaces; ? - ? - ? contractions; G -convergence; G -completeness; G -Cauchy sequences (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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