EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 239--242 (1983)

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ON TWO OPEN PROBLEMS OF CONTRACTIVE MAPPINGS

V. Totik

Bolyai 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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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition