Equivalence of some contractivity properties over metrical structures
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- by Jacek R. Jachymski
- Proc. Amer. Math. Soc. 125 (1997), 2327-2335
- DOI: https://doi.org/10.1090/S0002-9939-97-03853-7
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Abstract:
We establish an equivalence between eight contractive definitions. Next, we formulate a separation theorem for right upper semicontinuous functions. As its application, we give a complete characterization of relations between fixed point theorems of Boyd and Wong (1969), and Browder (1968).References
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Bibliographic Information
- Jacek R. Jachymski
- Affiliation: Institute of Mathematics, Technical University of Łódź, Żwirki 36, 90-924 Łódź, Poland
- Email: jachymsk@lodz1.p.lodz.pl
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2327-2335
- MSC (1991): Primary 47H10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-97-03853-7
- MathSciNet review: 1389524