ψ-Contraction and ... formula ...-contraction in Menger probabilistic metric space

摘要

The purpose of this paper is to present the definition of (ϕ, φ)-contractive mapping and to discuss the relation of ψ-contractive mappings and (ϕ, φ)-contractive mappings. Furthermore, the generalized (ϕ, φ)-contraction mapping principle has been proved without the uniqueness condition. Meanwhile, the generalized ψ-contraction mapping principle has been obtained by using an ingenious method.