A Generalization of Nadler's Fixed Point Theorem

被引：7
|
作者：
Popescu, Ovidiu [1 ]
Stan, Gabriel [1 ]
机构：
[1] Transilvania Univ Brasov, Dept Math, 50 Maniu Iuliu, Brasov 500091, Romania
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期
关键词：
Complete metric space; Nadler's theorem; Multi-valued mappings; MULTIVALUED CONTRACTION-MAPPINGS; METRIC-SPACES; MAPS;
D O I：
10.1007/s00025-017-0694-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we generalize the well-known Nadler's fixed point theorem (Nadler in Pac J Math 30:475-488, 1969), and one of some Dhompongsa and Yingtaweesittikul type theorems for multi-valued operators, see (Dhompongsa and Yingtaweesittikul in Fixed Point Theory Appl, 2007). Also, we give an example showing that our result is a proper generalization of some previous theorems.
引用
收藏
页码：1525 / 1534
页数：10
相关论文
共 50 条
  • [41] A Generalization for a Finite Family of Functions of the Converse of Browder's Fixed Point Theorem
    Miculescu, Radu
    Mihail, Alexandru
    [J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2018, 49 (04): : 673 - 698
  • [42] A Generalization of Reich's Fixed Point Theorem for Multi-Valued Mappings
    Nastasi, Antonella
    Vetro, Pasquale
    [J]. FILOMAT, 2017, 31 (11) : 3295 - 3305
  • [43] A Generalization for a Finite Family of Functions of the Converse of Browder’s Fixed Point Theorem
    Radu Miculescu
    Alexandru Mihail
    [J]. Bulletin of the Brazilian Mathematical Society, New Series, 2018, 49 : 673 - 698
  • [44] Two Applications of a Generalization of an Asymptotic Fixed Point Theorem
    Gerd Herzog
    Peer Chr. Kunstmann
    [J]. Order, 2017, 34 : 323 - 326
  • [45] A GENERALIZATION OF A FIXED POINT THEOREM FOR CM ELLIPTIC CURVES
    Canepa, Bogdan
    Gaba, Radu
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (01): : 3 - 12
  • [46] A generalization of a fixed point theorem for cm elliptic curves
    Cânepă, Bogdan
    Gaba, Radu
    [J]. UPB Scientific Bulletin, Series C: Electrical Engineering and Computer Science, 2019, 81 (01): : 3 - 12
  • [47] A Generalization of a Gregus Fixed Point Theorem in Metric Spaces
    Kutbi, Marwan A.
    Amini-Harandi, A.
    Hussain, N.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [48] A generalization of a fixed point theorem for CM elliptic curves
    Cânepă, Bogdan
    Gaba, Radu
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2019, 81 (01): : 3 - 12
  • [49] Two Applications of a Generalization of an Asymptotic Fixed Point Theorem
    Herzog, Gerd
    Kunstmann, Peer Chr.
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2017, 34 (02): : 323 - 326
  • [50] A generalization of the Lefschetz fixed point theorem and detection of chaos
    Srzednicki, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (04) : 1231 - 1239
12345