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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
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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.
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- Copyright © Canadian Mathematical Society 1972
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