Common Fixed Points for Nonlinear Quasi-Contractions of Ciric Type

被引：5

作者：

He, Fei ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

CONE METRIC-SPACES; VARIATIONAL PRINCIPLE; EQUIVALENCE; THEOREMS;

D O I：

10.1155/2014/450792

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ciric type with a Q-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with a c-distance. As application, we give a positive answer to the question of Ciric et al. posed in 2012. Our results extend and generalize many recent results.

引用

页数：9

共 20 条

[1] Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory [J].

Al-Homidan, S. ;

Ansari, Q. H. ;

Yao, J. -C. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) :126-139

[2] Fixed point theory in cone metric spaces obtained via the scalarization method [J].

Amini-Harandi, A. ;

Fakhar, M. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) :3529-3534

[3]

Chen GY, 2005, LECT NOTES ECON MATH, V541, P1, DOI 10.1007/3-540-28445-1

[4] Common fixed point theorems on generalized distance in ordered cone metric spaces [J].

Cho, Yeol Je ;

Saadati, Reza ;

Wang, Shenghua .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :1254-1260

[5] Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces [J].

Ciric, Ljubomir ;

Lakzian, Hossein ;

Rakocevic, Vladimir .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[6]

Di Bari C, 2012, FIXED POINT THEOR-RO, V13, P453

[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] On some nonlinear problems induced by an abstract maximal element principle [J].

Du, Wei-Shih .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (02) :391-399

[9] A note on cone metric fixed point theory and its equivalence [J].

Du, Wei-Shih .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2259-2261

[10]

Fadail Z. M., 2012, ABSTR APPL ANAL, V2012

← 1 2 →