On interpolative fuzzy contractions with applications

In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and Reich-Rus-Ciric type framework metric spaces, analyze existence points for such contractions equipped with some suitable hypotheses. A few consequences single-valued mappings which include conclusion main result Karapinar et al. [On Hardy-Rogers contractions. Symmetry, 2019, 11(1), 8] are obtained. On basis that mapping satisfying contractive inequality is not necessarily unique, thereby making notions more appropriate theorems multifunctions, multivalued analogues presented herein deduced as corollaries. addition, nontrivial examples dwell upon generality our results provided. Finally, one applied to investigate solvability conditions Fredholm integral inclusion.