New generalization of strong-composed metric type spaces with special (ψ,φ)-contraction

Abstract

The study aims to propose several generalizations of a strong b-metric space which is called strong-composed metric spaces. Therefore, to illustrate the concept, the study provides examples of a Strong-composed metric space, which are not a Strong-controlled metric type space, it is also not a Strong b-metric space. Finally, the investigation demonstrates the uniqueness of some fixed-point results involving some general structure contractions with applications in nonlinear integral and fractional differential equations.