Geodesic
On two Open Problems of Contractive Mappings
Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 239
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Two open problems are solved concerning the fixed points of contractive mappings. The first is an example of a shrinking mapping of the closed unit ball in a Banach space without any fixed point. The second solves a question of B. Fischer.
Classification : 54H25 47H10 
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     author = {V. Totik},
     title = {On two {Open} {Problems} of {Contractive} {Mappings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {239 },
     year = {1983},
     volume = {_N_S_34},
     number = {48},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a34/}
}
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V. Totik. On two Open Problems of Contractive Mappings. Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 239 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a34/