A simple proof of a theorem of Ky Fan
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- by V. M. Sehgal PDF
- Proc. Amer. Math. Soc. 63 (1977), 368-369 Request permission
Abstract:
A simple proof of a fixed point theorem of Ky Fan in locally convex spaces is constructed by means of his fixed point theorem for set valued functions.References
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- Ky. Fan, Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 121–126. MR 47317, DOI 10.1073/pnas.38.2.121
- Ky Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z. 112 (1969), 234–240. MR 251603, DOI 10.1007/BF01110225
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 368-369
- MSC: Primary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0435954-8
- MathSciNet review: 0435954