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J-nonexpansive mappings in uniform spaces and applications

Published online by Cambridge University Press:  17 April 2009

Vasil G. Angelov
Vasil G. Angelov
Affiliation:
Department of Mathematics, Higher Mining and Geological Institute, 1156 Sofia, Bulgaria
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Abstract

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The purpose of the paper is to introduce a class of “j-nonexpansive” mappings and to prove fixed point theorems for such mappings. They naturally arise in the existence theory of functional differential equations. These mappings act in spaces without specific geometric properties as, for instance, uniform convexity. Critical examples are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 331 - 339
Copyright
Copyright © Australian Mathematical Society 1991

References

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