Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications
This is basically author's abstract. The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex space. He states that this fixed point index satisfies the usual properties of a fixed point theory. Using this concept, the author proves several nonzero fixed point theorems of set-valued \(\phi\)- condensing mappings. These theorems extend some known results.
fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex space
set-valued \(\phi \)-condensing mappings
scientific article; zbMATH DE number 4028230