Fixed point index for $G$-equivariant multivalued maps
نویسندگان
چکیده
منابع مشابه
Fixed point results for multivalued contractive maps
* Correspondence: [email protected] Department of Mathematics, Faculty of Science For Girls, King Abdulaziz University, P.O. Box 53909, Jeddah 21593, Saudi Arabia Full list of author information is available at the end of the article Abstract Using the concept of u-distance, we prove a fixed point theorem for multivalued contractive maps. We also establish a multivalued version of the Caris...
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1. Preliminaries. We are concerned with involutions without fixed points, together with equivariant maps connecting such involutions. An involution T is a homeomorphism of period 2 of a Hausdorff space X onto itself; that is, T(x) = x for all x £ X . There is associated with an involution T on X the orbit space X/T, obtained by identifying x with T(x) for all x G Z . Denote by v\ X—+X/T the dec...
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Without using the concept of Hausdorff metric, we prove some results on the existence of fixed points for generalized contractive multivalued maps with respect to u-distance. Consequently, several known fixed point results are either generalized or improved.
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* Correspondence: shcho@hanseo. ac.kr Department of Mathematics, Hanseo University, Chungnam 356706, South Korea Full list of author information is available at the end of the article Abstract The aim of this article is to generalize a result which is obtained by Mizoguchi and Takahashi [J. Math. Anal. Appl. 141, 177-188 (1989)] to the case of cone metric spaces. MSC: 47H10; 54H25.
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 1996
ISSN: 1230-3429
DOI: 10.12775/tmna.1996.027