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

页码：2675 / 2683

页数：9

共 50 条

[41] Fixed points of weakly contractive maps and boundedness of orbits
Mai, Jie-Hua
Liu, Xin-He
[J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[42] EXTENSIONS AND FIXED-POINTS OF CONTRACTIVE MAPS IN RN
BRIDGES, DS
RICHMAN, F
JULIAN, WH
MINES, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 165 (02) : 438 - 456
[43] Fixed Points of Weakly Contractive Maps and Boundedness of Orbits
Jie-Hua Mai
Xin-He Liu
[J]. Fixed Point Theory and Applications, 2007
[44] Fixed points of Edelstein-type multivalued maps
Mehmood N.
Azam A.
Beg I.
[J]. Rendiconti del Circolo Matematico di Palermo (1952 -), 2014, 63 (3): : 399 - 407
[45] FIXED-POINTS OF WEAKLY INWARD MULTIVALUED MAPS
CHUAN, HS
DEIMLING, K
PRUSS, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (05) : 465 - 469
[46] Fixed Points of Multivalued Maps in Modular Function Spaces
Marwan A. Kutbi
Abdul Latif
[J]. Fixed Point Theory and Applications, 2009
[47] Fixed Points of Multivalued Maps in Modular Function Spaces
Kutbi, Marwan A.
Latif, Abdul
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
[48] FIXED POINTS OF MULTIVALUED MAPS VIA (G,φ) - CONTRACTION
Kamran, Tayyab
Rakocevic, Vladimir
Waheed, Mehwish
Ali, Muhammad Usman
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (04): : 189 - 196
[49] PERIODIC AND FIXED POINTS OF MULTIVALUED MAPS ON EUCLIDEAN SPACES
Buzyakova, R. Z.
Chigogidze, A.
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (04): : 1285 - 1297
[50] Fixed points of multivalued maps via (G,φ)-contraction
[J]. 1600, Politechnica University of Bucharest (78):

← 1 2 3 4 5 →