Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications

The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of - contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces are developed. An application has been presented to ensure the uniqueness and existence of a solution of families of nonlinear integral equations.