On coupled coincidence point theorems on partially ordered G-metric spaces without mixed g-monotone

被引：4

作者：

Charoensawan, Phakdi ^{[1
]}

Thangthong, Chaiporn ^{[1
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

coupled fixed point; coupled coincidence point; invariant set; mixed g-monotone; partially ordered set; G-metric; CONTRACTIVE-TYPE MAPPINGS; COMMON FIXED-POINTS; KEELER TYPE CONTRACTIONS; NONLINEAR CONTRACTIONS; SETS;

D O I：

10.1186/1029-242X-2014-150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we prove the existence of a coupled coincidence point theorem of nonlinear contraction mappings in G-metric spaces without the mixed g-monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by using the mixed monotone property. We also show the uniqueness of a coupled coincidence point of the given mapping. Further, we apply our results to the existence and uniqueness of a coupled coincidence point of the given mapping in partially ordered G-metric spaces.

引用

页数：17

共 50 条

[1] On coupled coincidence point theorems on partially ordered G-metric spaces without mixed g-monotone
Phakdi Charoensawan
Chaiporn Thangthong
[J]. Journal of Inequalities and Applications, 2014
[2] Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property
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Charoensawan, Phakdi
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[3] Coupled coincidence point theorems for a ϕ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property
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[J]. Fixed Point Theory and Applications, 2014
[4] COUPLED COINCIDENCE POINT THEOREMS FOR MIXED MONOTONE NONLINEAR OPERATOR IN PARTIALLY ORDERED G-METRIC SPACES
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[J]. MATEMATICHE, 2013, 68 (01): : 117 - 129
[5] COUPLED COINCIDENCE POINT FOR MIXED MONOTONE OPERATORS IN PARTIALLY ORDERED G-METRIC SPACES
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
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[9] Mixed g-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using (φ-ψ) contractions
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[10] Mixed g-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using (ϕ−ψ) contractions
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[J]. Fixed Point Theory and Applications, 2012

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