Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions

被引：28

作者：

Klin-eam, Chakkrid ^{[1
,2
]}

Suanoom, Cholatis ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

fixed points; dqb-cyclic-Banach contraction; dqb-cyclic-Kannan mapping; b-metric spaces; quasi-b-metric spaces; b-metric-like spaces; dislocated quasi-b-metric spaces; ASYMPTOTIC CONTRACTIONS; PROXIMITY;

D O I：

10.1186/s13663-015-0325-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish dislocated quasi-b-metric spaces and introduce the notions of Geraghty type dqb-cyclic-Banach contraction and dqb-cyclic-Kannan mapping and derive the existence of fixed point theorems for such spaces. Our main theorem extends and unifies existing results in the recent literature.

引用

页数：12

共 27 条

[1] Fixed point and coupled fixed point theorems on b-metric-like spaces [J].

Alghamdi, Mohammed Ali ;

Hussain, Nawab ;

Salimi, Peyman .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[2]

Bakhtin I. A., 1989, Functional Analysis, V30, P26, DOI DOI 10.1039/AP9892600037

[3]

Banach S., 1922, Fund. math, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]

[4]

Basha SS, 2000, J APPROX THEORY, V103, P119

[5]

Czerwik S., 1998, Atti del Seminario Matematico e Fisico dell'Universita di Modena e Reggio Emilia, V46, P263

[6] A Generalization of Kannan's Fixed Point Theorem [J].

Enjouji, Yusuke ;

Nakanishi, Masato ;

Suzuki, Tomonari .

FIXED POINT THEORY AND APPLICATIONS, 2009, :1-10

[7]

Hitzler P., 2000, J. Electr. Eng., V51, P3

[8] SOME RESULTS ON FIXED POINTS .2. [J].

KANNAN, R .

AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (04) :405-&

[9]

Karapinar E, 2011, APPL MATH INFORM SCI, V5, P558

[10] Some similarity between contractions and Kannan mappings [J].

Kikkawa, Misako ;

Suzuki, Tomonari .

FIXED POINT THEORY AND APPLICATIONS, 2008,

← 1 2 3 →