On discus spaces (Q2845239)

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scientific article; zbMATH DE number 6200649
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English
On discus spaces
scientific article; zbMATH DE number 6200649

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    22 August 2013
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    discus space
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    multivalued mapping
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    fixed point
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    selection
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    non-expansive mapping
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    On discus spaces (English)
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    The concept of discus space, defined by the author in [Bull. Pol. Acad. Sci., Math. 54, No. 1, 85--88 (2006; Zbl 1105.54022)], is used to find various types of fixed point results. In this paper, among other things, the author extends the Browder-Göhde-Kirk fixed point theorem to such spaces. He also provides a more thorough investigation of the properties of discus spaces as an extension of uniformly convex spaces.
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