Geodesic
Generalized trend constants of Lipschitz mappings
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 72 (2018) no. 2

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In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point property for initially nonexpansive mappings. We generalize the above concepts and prove an analogous fixed point theorem. We also study the initial trend coefficient more deeply.
Keywords: Banach space, Lipschitz mapping, fixed point 
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Szczepanik, Mariusz. Generalized trend constants of Lipschitz mappings. Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 72 (2018) no. 2. http://geodesic.mathdoc.fr/item/AUM_2018_72_2_a0/

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