Weakly Picard mappings

Ioan A. Rus

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 4, page 769-773
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Rus, Ioan A.. "Weakly Picard mappings." Commentationes Mathematicae Universitatis Carolinae 34.4 (1993): 769-773. <http://eudml.org/doc/247512>.

@article{Rus1993,
abstract = {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.},
author = {Rus, Ioan A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed points; Bessaga mappings; Janoš mappings; Picard mappings; contraction principle; weakly Picard mappings},
language = {eng},
number = {4},
pages = {769-773},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weakly Picard mappings},
url = {http://eudml.org/doc/247512},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Rus, Ioan A.
TI - Weakly Picard mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 4
SP - 769
EP - 773
AB - 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.
LA - eng
KW - fixed points; Bessaga mappings; Janoš mappings; Picard mappings; contraction principle; weakly Picard mappings
UR - http://eudml.org/doc/247512
ER -

References

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  13. Rhoades B.E., Contractive definitions revisited, Contemporary Math. 21 (1983), 189-205. (1983) Zbl0528.54037MR0729516
  14. Rus I.A., Principii şi aplicaţii ale teoriei punctului fix, Ed. Dacia, Cluj-Napoca, 1979. 
  15. Rus I.A., Generalized contractions, Univ. Cluj-Napoca, Preprint No. 3, 1983, 1-30. MR0782679
  16. Rus I.A., Bessaga mappings, Proc. Colloq. Approx. Optimization, Cluj-Napoca, 1984, 165-175. Zbl0572.54040MR0847265
  17. Rus I.A., Picard mappings: results and problems, Univ. Cluj-Napoca, Preprint No. 6, 1987, 55-64. Zbl0654.54030MR0993513
  18. Rus I.A., Picard mappings I., Studia Univ. Babeş-Bolyai 33 (1988), 70-73. (1988) Zbl0672.47049MR1004822
  19. Rus I.A., Basic problems of the metric fixed point theory revisited, Studia Univ. Babeş-Bolyai 34 (1989), 61-69. (1989) Zbl0878.54028MR1073756
  20. Rus I.A., Mureşan A.S., Examples and counterexamples for Janoš mappings, Univ. Cluj-Napoca, Preprint No. 3, 1984, 63-66. MR0807962
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