A generalization of \(H\)-space and some results on multivalued mappings without convexity (Q1910834)
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scientific article; zbMATH DE number 859219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of \(H\)-space and some results on multivalued mappings without convexity |
scientific article; zbMATH DE number 859219 |
Statements
A generalization of \(H\)-space and some results on multivalued mappings without convexity (English)
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24 March 1996
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The author introduces the concept of generalized \(H\)-space which is a generalization of \(H\)-space and a generalized \(H\)-KKM mapping which unifies \(H\)-KKM mappings and generalized KKM mappings. By using these concepts some intersection theorems and fixed point theorems in generalized \(H\)-space and some existence theorems of greatest and maximal elements for preference relations in topological spaces are obtained.
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KKM mapping
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intersection theorem
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maximal element
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generalized \(H\)-space
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