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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 23, No. 1, pp. 39-45 (2007)
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Fixed Points Theorems for $n$-Valued Multifunctions

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A. Stouti and A. Maaden

University Sultan Moulay Soulayman, Beni-Mellal

**Abstract:** We first show that if $Y$ is a nonempty AR space and $F\colon Y \rightarrow Y$ 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 $F \colon C \rightarrow C$ is a continuous $\Phi$-condensing $n$-valued multifunction, then $F$ has at least $n$ fixed points.

**Keywords:** AR spaces, $n$-valued multifunction, convex set, fixed point, $\Phi$-condensing multifunction

**Classification (MSC2000):** 46A55; 52A07, 54H25

**Full text of the article:**

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© 2007 ELibM and
FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition
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