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.References
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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