A FIXED POINT THEOREM ON CONE METRIC SPACES WITH NEW TYPE CONTRACTIVITY

被引：4

作者：

Altun, Ishak ^{[1
]}

Abbas, Mujahid ^{[2
]}

Simsek, Hakan ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[2] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2011年 / 5卷 / 02期

关键词：

Fixed point; cone metric space; integral type contraction; WEAKLY COMPATIBLE MAPPINGS; MAPS;

D O I：

10.15352/bjma/1313362998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, a common fixed point theorem for self maps on cone metric spaces is proved. Also two examples, which shows that our main theorem is generalized version of main theorems of [A. Branciari, Int. J. Math. Math. Sci., 29 (2002), no. 9, 531-536] and [L.G. Huang and X. Zhang, J. Math. Anal. Appl. 332 (2007), no. 2, 1468 1476], are given.

引用

页码：15 / 24

页数：10

共 27 条

[1] Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J].

Abbas, A. ;

Jungck, G. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :416-420

[2] Fixed and periodic point results in cone metric spaces [J].

Abbas, Mujahid ;

Rhoades, B. E. .

APPLIED MATHEMATICS LETTERS, 2009, 22 (04) :511-515

[3]

Abbas M, 2008, MATH COMMUN, V13, P295

[4] A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type [J].

Aliouche, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (02) :796-802

[5] Fixed points of weakly compatible maps satisfying a general contractive condition of integral type [J].

Altun, Ishak ;

Turkoglu, Duran ;

Rhoades, Billy E. .

FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)

[6] Some fixed point theorems on ordered cone metric spaces [J].

Altun I. ;

Durmaz G. .

Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) :319-325

[7] Fixed point and common fixed point theorems on ordered cone metric spaces [J].

Altun, Ishak ;

Damjanovic, Bosko ;

Djoric, Dragan .

APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316

[8] Some Common Fixed Point Results in Cone Metric Spaces [J].

Arshad, Muhammad ;

Azam, Akbar ;

Vetro, Pasquale .

FIXED POINT THEORY AND APPLICATIONS, 2009,

[9] Common fixed points of two maps in cone metric spaces [J].

Azam A. ;

Arshad M. ;

Beg I. .

Rendiconti del Circolo Matematico di Palermo, 2008, 57 (3) :433-441

[10]

Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]

← 1 2 3 →