Some remarks on fixed sets for perturbed multivalued mappings

被引：0

作者：

Abdallah, M. Y. ^{[1
]}

Al-Izeri, A. ^{[1
]}

Latrach, K. ^{[1
]}

机构：

[1] Univ Clermont Auvergne, LMB, CNRS, F-63000 Clermont Ferrand, France

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 03期

关键词：

Fixed set theorem; upper semicontinuous multivalued mappings; measure of weak noncompactness; contractive perturbations; condensing perturbations; countably condensing perturbations; POINT THEOREMS; KRASNOSELSKII-TYPE; EXISTENCE;

D O I：

10.1007/s11784-021-00875-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present several fixed set theorems for multivalued mappings in Banach spaces, which in turn are multivalued versions of the Krasnosel'skii fixed point theorem, for various kind of perturbations.

引用

页数：14

共 50 条

[21] On Some Geometric Constants and the Fixed Point Property for Multivalued Nonexpansive Mappings
Jingxin Zhang
Yunan Cui
Fixed Point Theory and Applications, 2010
[22] LIMIT-SETS OF MULTIVALUED MAPPINGS
OGANESIAN, ZS
DOKLADY AKADEMII NAUK SSSR, 1984, 275 (06): : 1313 - 1316
[23] ON SOME PROBLEMS FROM THE THEORY OF FIXED-POINTS OF MULTIVALUED MAPPINGS
GELMAN, BD
LECTURE NOTES IN MATHEMATICS, 1990, 1453 : 227 - 244
[24] ESSENTIAL FIXED POINTS OF MULTIVALUED MAPPINGS
JIANG, JH
SCIENTIA SINICA, 1962, 11 (03): : 293 - &
[25] Fixed points of multivalued alpha-admissible mappings and stability of fixed point sets in metric spaces
Choudhury, B. S.
Metiya, N.
Bandyopadhyay, C.
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2015, 64 (01) : 43 - 55
[26] ESSENTIAL FIXED POINTS OF THE MULTIVALUED MAPPINGS
江嘉禾
Science China Mathematics, 1962, (03) : 293 - 298
[27] On a Fixed Point Theorem for General Multivalued Mappings on Finite Sets with Applications in Game Theory
Luckraz, Shravan
JOURNAL OF MATHEMATICS, 2022, 2022
[28] FIXED-POINTS FOR MULTIVALUED MAPPINGS DEFINED ON UNBOUNDED SETS IN BANACH-SPACES
MARINO, G
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 157 (02) : 555 - 567
[29] On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces
Hong-Kun Xu
Luigi Muglia
Journal of Fixed Point Theory and Applications, 2020, 22
[30] On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces
Xu, Hong-Kun
Muglia, Luigi
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (04)

← 1 2 3 4 5 →