Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications (Q1095385)
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scientific article; zbMATH DE number 4028230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications |
scientific article; zbMATH DE number 4028230 |
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Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications (English)
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1987
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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.
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upper semi-continuous
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fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex space
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set-valued \(\phi \)-condensing mappings
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