Diametral Contractive Mappings in Reflexive Banach Spaces
Mathematica Moravica, Tome 6 (2002) no. 1.

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In this paper it is proved that if $ is a nonempty-bounded closed convex subset of a reflexive Banach space X and if K has normal structure, then any diametral contractive mapping T on K into itself has a fixed point.
Mots-clés : reflexive Banach spaces, normal structure, Šmulian property, Browder-Göhde-Kirk theorem, diametral contractive mappings, fixed points 
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     author = {Milan Taskovi\'c},
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Milan Tasković. Diametral Contractive Mappings in Reflexive Banach Spaces. Mathematica Moravica, Tome 6 (2002) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2002_6_1_a9/