A fuzzy coincidence theorem with applications in a function space

Abstract

We present a coincidence theorem for a pair of fuzzy mappings satisfying a Jungck type contractive condition which generalizes Heilpern's fuzzy contraction theorem. Moreover, we deduce coincidence points of a pair of multivalued mappings which is an improvement/generalization of Nadler's fixed point theorem and several of its successive generalizations. As applications, we obtain an existence theorem of solution for a class of nonlinear integral equations by utilizing completeness property of function space (C [a,b], $\mathbb{R}$).