Equivalence of some contractivity properties over metrical structures

Jachymski, Jacek

doi:10.1090/S0002-9939-97-03853-7

Equivalence of some contractivity properties over metrical structures
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by Jacek R. Jachymski PDF

Proc. Amer. Math. Soc. 125 (1997), 2327-2335 Request permission

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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