On new fixed point theorems for three types of (α, β)-(ψ, θ, ?)-multivalued contractive mappings in metric spaces

摘要

Our goal in this paper is to present three classes of cyclic ( α , β ) - ( ψ , θ , ? ) -admissible multivalued mappings, and then prove the existence of fixed point in a complete metric space. Our results generalize and extend several works. Two examples were added to support our work.