内向映象的不动点指数及其应用

THE FIXED POINT INDEX OF INWARD MAPS AND ITS APPLICATION

本文引入了内向映象不动点指数的概念,用以处理内向映象(非锥上自映象)的正不动点及对应于正固有值的正固有元问题;推广了著名的定理和锥拉伸与锥压缩不动点定理。

This paper introduced a concept of fixed point index for inward maps,which are not selfmaps on a cone,and investigated positive fixedpoints of inward maps by using the fixed point index defined in thispaper.We extended the famous theorem and cone expa-nsion and cone contraction fixed point theorem.