Feng-Liu-Type Paired Contractions in Suprametric Spaces with Applications to Fractional Differential Inclusion Models for COVID-19

This manuscript introduces the idea of Feng–Liu-type paired contractions on suprametric spaces with cardinality of at least three. Under this general setting, some conditions guaranteeing the existence of fixed points of such contractive operators are examined in suprametric spaces with a cardinality of at least three, whose elements are pairwise distinct. An illustrative example is constructed to support the assumptions of the proposed concepts. It is thereafter observed that the ideas presented herein unify and extend a significant number of corresponding notions, some of which are highlighted and discussed as corollaries. As an application, it is demonstrated that the technique put forward in this research is useful in the existence and stability analysis of Caputo-type fractional differential inclusion model for COVID-19.