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A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings

Published online by Cambridge University Press:  20 November 2018

Hong-Kun Xu
Hong-Kun Xu*
Affiliation:
Department of Mathematics, East China Institute of Chemical Technology, Shanghai 200237, People's Republic of China
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Abstract

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As a generalization of Kiang and Tan's proximately nonexpansive semigroups, the notion of a proximately uniformly Lipschitzian semigroup is introduced and an existence theorem of common fixed points for such a semigroup is proved in a Banach space whose characteristic of convexity is less than one.

Keywords

47H10Common fixed pointproximately uniformly Lipschitzian semigroup
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 559 - 562
Copyright
Copyright © Canadian Mathematical Society 1991

References

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