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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Equivalence of some contractivity properties
over metrical structures

Author: Jacek R. Jachymski
Journal: Proc. Amer. Math. Soc. 125 (1997), 2327-2335
MSC (1991): Primary 47H10, 54H25
MathSciNet review: 1389524
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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).

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Additional Information

Jacek R. Jachymski
Affiliation: Institute of Mathematics, Technical University of Łódź, Żwirki 36, 90-924 Łódź, Poland

Keywords: Upper semicontinuous function, increasing function, cluster point, nonlinear contraction, iteration
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society