Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations
Badshah-e-Rome,
Muhammad Sarwar,
Rosana Rodríguez-López
Affiliations
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
In this article, the concept of extended fuzzy rectangular b-metric space (EFRbMS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via α-admissibility in the setting of EFRbMS. 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.
