Fixed point theorems for extended interpolative multi-valued non-self mappings in b-metric space with some application

Abstract

The study of fixed point theorems for multi-valued non-self mappings on metrically convex metric space was initiated by Assad and Kirk. In this paper, we will prove and extend the fixed point results for an extended interpolative multivalued non-self-contraction mapping on metrically convex b-metric space. We provide an example for verification of the proven theorems. Also, we give some applications to non-linear matrix equations applied to real-world problems.