A Proposal to the Study of Contractions in Quasi-Metric Spaces

被引：56

作者：

Alsulami, Hamed H. ^{[1
]}

Karapinar, Erdal ^{[1
,2
]}

Khojasteh, Farshid ^{[3
]}

Roldan-Lopez-de-Hierro, Antonio-Francisco ^{[4
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21413, Saudi Arabia

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[3] Islamic Azad Univ, Dept Math, Arak Branch, Arak, Iran

[4] Univ Jaen, Dept Math, Jaen 23071, Spain

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷

关键词：

FIXED-POINT THEOREMS;

D O I：

10.1155/2014/269286

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.

引用

页数：10

共 15 条

[1]

Aage CT, 2012, APPL MATH E-NOTES, V12, P23

[2]

Agarwal R, J NONLINEAR IN PRESS

[3] Remarks on some coupled fixed point theorems in G-metric spaces [J].

Agarwal, Ravi P. ;

Karapinar, Erdal .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[4]

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

[5] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[6] SOLUTION BY ITERATION OF NONLINEAR FUNCTIONAL EQUATIONS IN BANACH SPACES [J].

BROWDER, FE ;

PETRYSHYN, WV .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (03) :571-+

[7] Remarks on G-metric spaces and fixed point theorems [J].

Jleli, Mohamed ;

Samet, Bessem .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[8] FIXED-POINT THEOREMS BY ALTERING DISTANCES BETWEEN THE POINTS [J].

KHAN, MS ;

SWALEH, M ;

SESSA, S .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1984, 30 (01) :1-9

[9]

Khojasteh F., FILOMAT IN PRESS

[10]

Mustafa Z., 2005, Ph.D. Thesis

← 1 2 →