PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 239--242 (1983)
ON TWO OPEN PROBLEMS OF CONTRACTIVE MAPPINGS
V. TotikBolyai Institute, Aradi vétanuk tere 1, Szeged, Hungary
Abstract: 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 (MSC2000): 54H25, 47H10
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