Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces

Abstract

Karapinar et al. established a more general class of contractions, namely, hybrid interpolative Riech Istrǎstescue-type contractions, and presented some results on the platform of metric spaces. This research uses the domain of b-metric spaces to modify this class proficiently. Several interesting fixed-point results are presented by using this new class defined on b-metric space, where the symmetric condition is preserved in this study. Examples are provided for the authentication of proved results. Eventually, an application is also provided in order to comprehend our extensive effort in a better way.

Keywords

• ?-metric space (?MS)
• hybrid interpolative ℛiech ℐstrǎstescue ℛℐ-type contractions
• picard operator
• <i>π</i>-admissible mapping
• Fredholm integral equations