An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

被引：9

作者：

Asadi, M. ^{[3
]}

Soleimani, H. ^{[3
]}

Vaezpour, S. M. ^{[1
,2
]}

机构：

[1] Amir Kabir Univ Technol, Dept Math, Tehran 1591634311, Iran

[2] Univ Newcastle, Dept Math, Callaghan, NSW 2308, Australia

[3] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 1477893855, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2009年

关键词：

MAPPINGS; THEOREMS;

D O I：

10.1155/2009/723203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper at first we introduce a new order on the subsets of cone metric spaces then, using this definition, we simplify the proof of fixed point theorems for contractive set-valued maps, omit the assumption of normality, and obtain some generalization of results. Copyright (C) 2009 M. Asadi et al.

引用

页数：8

共 50 条

[1] An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions
M. Asadi
H. Soleimani
S. M. Vaezpour
[J]. Fixed Point Theory and Applications, 2009
[2] Fixed Points and Endpoints of Set-Valued Contractions in Cone Metric Spaces
Lin, Ing-Jer
Chen, Chi-Ming
Jovanovic, Mirko
Wu, Tzi-Huei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[3] Endpoints and fixed points of set-valued contractions in cone metric spaces
Wardowski, Dariusz
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 512 - 516
[4] Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
Klim, D.
Wardowski, D.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5170 - 5175
[5] Fixed Point Theorems for Set-valued Contractions in Ordered Cone Metric Spaces
Petrot, Narin
Balooee, Javad
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 99 - 110
[6] Fixed points of set-valued contractions in partial metric spaces endowed with a graph
Abbas, Mujahid
Ali, Basit
Petrusel, Gabriela
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2014, 30 (02) : 129 - 137
[7] On set-valued contractions of Nadler type in cone metric spaces
Wardowski, Dariusz
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (03) : 275 - 278
[8] Fixed point of set-valued graph contractions in metric spaces
Dehkordi, Masoud Hadian
Ghods, Masoud
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 741 - 747
[9] Fixed Point Theorems for Set-Valued Contractions in Metric Spaces
Cho, Seong-Hoon
[J]. AXIOMS, 2024, 13 (02)
[10] Set-valued contractions and fixed points
Espínola, R
Kirk, WA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (03) : 485 - 494

← 1 2 3 4 5 →