Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications

被引：3

作者：

Li, Biwen ^{[1
]}

Huang, Huaping ^{[2
]}

机构：

[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

GENERALIZED LIPSCHITZ MAPPINGS; THEOREMS; COINCIDENCE;

D O I：

10.1155/2017/5054603

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak phi-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also

引用

页数：6

共 21 条

[1] Coincidence and common fixed point results in partially ordered cone metric spaces and applications to integral equations [J].

Aydi, H. ;

Nashine, H. K. ;

Samet, B. ;

Yazidi, H. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) :6814-6825

[2] Coupled coincidence point results on generalized distance in ordered cone metric spaces [J].

Aydi, Hassen ;

Karapinar, Erdal ;

Mustafa, Zead .

POSITIVITY, 2013, 17 (04) :979-993

[3] Coupled fixed point results in cone metric spaces for (w)over-tilde-compatible mappings [J].

Aydi, Hassen ;

Samet, Bessem ;

Vetro, Calogero .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[4]

BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[5]

Berinde V., 1997, CONTRACTII GEN SI AP, V22

[6]

Browder F. E., 1980, NONLINEAR FUNCTIONAL

[7] Fixed point results under c-distance in tvs-cone metric spaces [J].

Dordevic, Momcilo ;

Doric, Dragan ;

Kadelburg, Zoran ;

Radenovic, Stojan ;

Spasic, Dragoljub .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[8] A sharp generalization on cone b-metric space over Banach algebra [J].

Huang, Huaping ;

Radenovic, Stojan ;

Deng, Guantie .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02) :429-435

[9]

Huang HP, 2016, J COMPUT ANAL APPL, V20, P869

[10]

Huang HP, 2016, J COMPUT ANAL APPL, V20, P566

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