Periodic and fixed points, and commuting mappings

Jungck, Gerald

doi:10.1090/S0002-9939-1979-0537100-0

Periodic and fixed points, and commuting mappings
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Proc. Amer. Math. Soc. 76 (1979), 333-338 Request permission

Abstract:

We employ commuting mappings to produce generalizations of locally contractive and locally expansive maps, and obtain criteria for the existence of fixed and periodic points of arbitrary maps on compacta.

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