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On Fixed Point Theorems for Mappings in a Separated Locally Convex Space

Published online by Cambridge University Press:  20 November 2018

Cheng-Ming Lee
Cheng-Ming Lee*
Affiliation:
University of British Columbia, Vancouver, British Columbia University of Wisconsin, Milwaukee, Wisconsin
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The Banach contraction principle has been generalized by Tan [6] to the mappings in separated locally convex spaces. We show that the result of Sehgal [5] and also of Holmes [3] can be generalized in the same way.

Throughout this note, we let X be a separated locally convex space, U a base for the closed absolutely convex neighborhoods of the origin O in X, K a nonempty subset of X, and Ta mapping from K to K.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 4 , December 1972 , pp. 603 - 604
Copyright
Copyright © Canadian Mathematical Society 1972

References

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