Weakly Picard mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 769-773
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In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses. Some properties of weakly Picard mappings are given.
Classification :
47H10, 54H25
Keywords: fixed points; Bessaga mappings; Jano\v s mappings; Picard mappings
Keywords: fixed points; Bessaga mappings; Jano\v s mappings; Picard mappings
@article{CMUC_1993__34_4_a13,
author = {Rus, Ioan A.},
title = {Weakly {Picard} mappings},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {769--773},
publisher = {mathdoc},
volume = {34},
number = {4},
year = {1993},
mrnumber = {1263804},
zbl = {0787.54045},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a13/}
}
Rus, Ioan A. Weakly Picard mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 769-773. http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a13/