A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping

Abstract

We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping $T$ from $X\times X$ into $\text{C}\text{B}(X)$, satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.