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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some fixed point theorems for condensing multifunctions in locally convex spaces
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by C. H. Su and V. M. Sehgal PDF
Proc. Amer. Math. Soc. 50 (1975), 150-154 Request permission

Abstract:

Let $G$ be a nonempty subset of a locally convex space $E$ such that $\operatorname {cl} (G)$ is convex and quasi-complete, and $f:\operatorname {cl} (G) \to E$ a continuous condensing multifunction. In this paper, several fixed point theorems are established if $f$ satisfies some conditions on the boundary of $G$. The results herein extend some theorems of Reich [9] and generalize some of the well-known fixed point theorems.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 50 (1975), 150-154
  • MSC: Primary 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0380530-7
  • MathSciNet review: 0380530