Fixed Point Results via <i>α</i>-Admissibility in Extended Fuzzy Rectangular <i>b</i>-Metric Spaces with Applications to Integral Equations

Abstract

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.

Keywords

• extended fuzzy rectangular <i>b</i>-metric spaces
• <i>α</i>-<i>η</i>-<i>β</i> contractions
• <i>G</i>-convergence
• <i>G</i>-completeness
• <i>G</i>-Cauchy sequences