Stouti, A. and Maaden, A. (2007) Fixed Points Theorems for n-Valued Multifunctions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 23 (1). pp. 39-45. ISSN 0866-0174
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Abstract
We first show that if Y is a nonempty AR space and F : Y → Y is a compact n-valued multifunction, then F has at least n fixed point. We also prove that if C is a nonempty closed convex subset of a topological vector space E and F : C → C is a continuous Φ-condensing n-valued multifunction, then F has at least n fixed points.
| Item Type: | Article |
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| Uncontrolled Keywords: | AR spaces, n-valued multifunction, convex set, fixed point |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 01 Feb 2024 08:12 |
| Last Modified: | 01 Feb 2024 08:12 |
| URI: | http://real.mtak.hu/id/eprint/186935 |
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