半可微的上半连续集值1-集压缩映射的正不动点

Positive Fixed Point for Semidifferentiable and Upper Semicontinuous Set-valued 1-set-contractive Mapping

利用集值映射的半可微概念,并引入集值映射的强半紧概念,研究具有半导数的上半连续强半紧1-集压缩映象的正不动点的存在性.

Using semidifferentiable concept for set-valued mapping and defining strong semiconpact for set-valued mapping. The article studies the existence of positive fixed point for semidifferentiable and Upper semicontinuous set-valued 1-set-contractive mapping.