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

页码：1525 / 1534

页数：10

共 50 条

[1] A Generalization of Nadler’s Fixed Point Theorem
Ovidiu Popescu
Gabriel Stan
[J]. Results in Mathematics, 2017, 72 : 1525 - 1534
[2] A generalization of Nadler fixed point theorem
Vetro, Francesca
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2015, 31 (03) : 403 - 410
[3] Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
Suzuki, Tomonari
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 752 - 755
[4] A GENERALIZATION OF NADLER'S FIXED POINT THEOREM AND ITS APPLICATION TO NONCONVEX INTEGRAL INCLUSIONS
Pathak, Hemant Kumar
Shahzad, Naseer
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 41 (01) : 207 - 227
[5] Nadler’s fixed point theorem in ν-generalized metric spaces
Suzuki T.
[J]. Fixed Point Theory and Applications, 2017 (1)
[6] On the equivalence of the Mizoguchi-Takahashi fixed point theorem to Nadler's theorem
Eldred, A. Anthony
Anuradha, J.
Veeramani, P.
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1539 - 1542
[7] A GENERALIZATION OF CLARKE'S FIXED POINT THEOREM
SONG WEN
[J]. Applied Mathematics:A Journal of Chinese Universities, 1995, (04) : 463 - 466
[8] A Generalization of Kannan's Fixed Point Theorem
Enjouji, Yusuke
Nakanishi, Masato
Suzuki, Tomonari
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009, : 1 - 10
[9] A Generalization of Kannan's Fixed Point Theorem
Yusuke Enjouji
Masato Nakanishi
Tomonari Suzuki
[J]. Fixed Point Theory and Applications, 2009
[10] A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions
Miculescu, Radu
Mihail, Alexandru
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1525 - 1533

← 1 2 3 4 5 →