Fixed point and homotopy results in uniform spaces (Q1772527)

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scientific article; zbMATH DE number 2157928
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Fixed point and homotopy results in uniform spaces
scientific article; zbMATH DE number 2157928

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    Fixed point and homotopy results in uniform spaces (English)
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    18 April 2005
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    In this paper, interesting new fixed point theorems for contractive type maps on complete gauge spaces are proved. First, a local fixed point result for single-valued maps is given, and then this result is extended to multivalued closed maps. A homotopy type result for contractive type maps is also presented. The results of this paper extend several known results.
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    contractive type map
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    complete gauge space
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