Some fixed point results for the cyclic (α, β) – (k, θ)–multi-valued mappings in metric space

Abstract

In this paper, we introduce the cyclic (α, β) — (k, θ) —multi-valued mappings in metric space, Our results generalize and extend several works which are weaker as we use cyclic (α, β)—contraction and multi-valued mappings in metric space. We provide an example to show the superiority of our results over corresponding fixed point results proved in metric spaces.