Absolute retractivity of the common fixed points set of two multifunctions
Keywords
Absolute retract, common fixed point, multifunctionAbstract
In 1970, Schirmer discussed about topological properties of the fixed point set of multifunctions ([< i> Properties of the fixed point set of contractive multifunctions< /i> , Canad. Math. Bull. < b> 13< /b> (1970), 169-173]). Later, some authors continued this study by providing different conditions ([M.C. Alicu and O. Mark, < i> Some properties of the fixed points set for multifunctions< /i> , Studia Univ. Babes-Bolyai Math. < b> 25< /b> (1980), 77-79] and [B. Ricceri, < i> Une propriete topologique de l'ensemble des points fixes d'une contraction multivoque a valeurs convexes< /i> , Atti. Acc. Lincei Rend. < b> 81< /b> (1987), 283-286]). Recently, Sintamarian proved results on absolute retractivity of the common fixed points set of two multivalued operators ([< i> A topological property of the common fixed points set of two multivalued operators< /i> , Nonlinear Anal. < b> 70< /b> (2009), 452-456] and [< i> A topological property of the common fixed points set of two multivalued operators satisfying a Latif-Beg type condition< /i> , Fixed Point Theory < b> 9< /b> (2008), 561-573]). We shall present some results on absolute retractivity of the common fixed points set of two multifunctions by using different conditions.Downloads
Published
2012-04-23
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1.
AFSHARI, Hojat, REZAPOUR, Shahram and SHAHZAD, Naseer. Absolute retractivity of the common fixed points set of two multifunctions. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 40, no. 2, pp. 429 - 436. [Accessed 27 July 2024].
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