Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges (Q1197413)

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scientific article; zbMATH DE number 91556
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Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
scientific article; zbMATH DE number 91556

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    Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges (English)
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    16 January 1993
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    This article presents a new approximation theorem with elements from some wedge of a continuous condensing mapping in a locally convex Hausdorff space \(E\). This result generalizes some well-known theorems of Fan, Lin, Sehgal and Singh. As applications some fixed point theorems for multivalued \(K\)-set contractive mappings defined on closed balls and annulus values in cones of Banach spaces are given.
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    condensing mapping
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    locally convex Hausdorff space
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    fixed point theorems for multivalued \(K\)-set contractive mappings defined on closed balls
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    annulus values in cones of Banach spaces
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