Enriched multivalued contractions on double controlled metric type spaces with an application

Abstract

In this research, we define (λ,θ)-enriched multivalued contraction and λ-enriched multivalued nonexpansive mapping on a double controlled metric type space and propose some fixed point results for these introduced contractions. An example is given to support our proposed results. Also, we solve a problem of differential inclusion, which may be used to model controlled systems with discontinuities, as an application.