Hybrid pair of multivalued mappings in modular-like metric spaces and applications

Abstract

Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued α∗-dominated mappings involving a generalized Q-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.

Keywords

• fixed point
• generalized q-contraction
• α∗-dominated multivalued mapping
• graphic contraction
• integral equation