Proceedings of the American Mathematical Society

Author(s): Jacek R. Jachymski
Journal: Proc. Amer. Math. Soc. 125 (1997), 2327-2335.
MSC (1991): Primary 47H10, 54H25
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47H10, 54H25

Jacek R. Jachymski
Affiliation: Institute of Mathematics, Technical University of Lódz, Zwirki 36, 90-924 Lódz, Poland
Email: jachymsk@lodz1.p.lodz.pl

DOI: 10.1090/S0002-9939-97-03853-7
PII: S 0002-9939(97)03853-7
Keywords: Upper semicontinuous function, increasing function, cluster point, nonlinear contraction, iteration
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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