Multivalued Sehgal-Proinov type contraction mappings involving rational terms in modular metric spaces

Abstract

This study intends to achieve new fixed point results, which will extend Seghal's results, considering the concept of $\alpha-$admissibility and Proinov type contraction comprising rational expressions for multivalued mappings in the frame of modular metric space. In addition, the viability of the outputs obtained here is demonstrated using a non-linear integral equation.