Fixed points of contractive multivalued maps

被引：16
|
作者：
Gorniewicz, L [1 ]
Marano, SA [1 ]
Slosarski, M [1 ]
机构：
[1] UNIV CATANIA,DEPT MATH,I-95125 CATANIA,ITALY
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 09期
关键词：
contractive multivalued map; fixed point; absolute retract;
D O I：
10.1090/S0002-9939-96-03265-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of contractive multivalued maps defined on a complete absolute retract and with closed bounded values, the set of fixed points is proved to be an absolute retract. This result unifies and extends to arbitrary absolute retracts both Theorem 1 by Ricceri [Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 81 (1987), 283-286] and Theorem 1 by Bressan, Cellina, and Fryszkowski [Proc. Amer. Math. Sec. 112 (1991), 413-418].
引用
收藏
页码：2675 / 2683
页数：9
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