两个广义多值弱压缩映射的公共端点

A Common Endpoint for Two Multi-Valued Generalized Weak Contraction Mappings

设(X,d)是完备度量空间,T,S是满足广义弱压缩条件的多值映射.通过在完备度量空间中构造函数ψ,使得对任意的x,y∈X,都有H(Tx,Sy)≤ψ(M(x,y)),得到多值映射T,S存在唯一的公共端点.

Let （X, d） be a complete metric space, T and S be multi-valued mappings that satisfy general ized weak contraction. The paper constructs function φ, satisfying H（Tx, Sy）≤ψ（M（x, y）） in a corn plete metric space, then multi-mappings T and S have a common endpoint.