Existence Of m-Tuple Best Proximity Points With Applications To Delay Differential Equations And Integral Equations

In this paper, we first introduce the notions of m-tuple best proximity point and later establish the new results of existence and convergence theorems of m-tuple best proximity point in metric spaces. We provide some illustrations to support our claims. Furthermore, as a consequence, we obtain m-tuple fixed point results for cyclic contraction mappings. As applications, we solve some systems of delay differential equations and integral equations.