关于锥拉伸与锥压缩不动点定理

FIXED POINT THEOREMS OF CONE EXPANSION AND COMPRESSION

本文给出Fréchet空间中集值映射的锥拉伸与锥压缩不动点定理。同时也讨论Banach空间与Hilbert空间中集值映射的相应不动点定理。并导出逼近定理作为应用。

This paper investigates the fixed point theorems of cone compression and expansion for multivalued mappings in Fréchet space, and discusses the corresponding fixed point theorems of multivalued mappings in Banach space and Hilbert space respactively. As application, a approximation theorem is derived.