Common Fixed Point Results in Complex Valued Metric Spaces with Application to Integral Equations

被引：15

作者：

Hussain, N. ^{[1
]}

Azam, Akbar ^{[2
]}

Ahmad, Jamshaid ^{[2
]}

Arshad, Muhammad ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

[3] Int Islamic Univ, Dept Math, Islamabad 44000, Pakistan

来源：

FILOMAT | 2014年 / 28卷 / 07期

关键词：

Compatible and weakly compatible maps; common fixed point; complex valued metric space; GENERALIZED CONTRACTIVE MAPPINGS; THEOREMS; MAPS;

D O I：

10.2298/FIL1407363H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, common fixed point of six mappings satisfying a contractive condition involving rational inequality in the framework of complex valued metric space are obtained. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

引用

页码：1363 / 1380

页数：18

共 18 条

[1] Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations [J].

Agarwal, Ravi P. ;

Hussain, Nawab ;

Taoudi, Mohamed-Aziz .

ABSTRACT AND APPLIED ANALYSIS, 2012,

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

Arshad, Muhammad ;

Azam, Akbar ;

Vetro, Pasquale .

FIXED POINT THEORY AND APPLICATIONS, 2009,

[3]

Azam A, 2009, B IRAN MATH SOC, V35, P255

[4] COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES [J].

Azam, Akbar ;

Fisher, Brian ;

Khan, M. .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) :243-253

[5] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].

CIRIC, LB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273

[6] Common fixed point theorems for families of weakly compatible maps [J].

Ciric, Ljubomir ;

Razani, A. ;

Radenovic, Stojan ;

Ume, J. S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2533-2543

[7] Common fixed points of almost generalized contractive mappings in ordered metric spaces [J].

Ciric, Ljubomir ;

Abbas, Mujahid ;

Saadati, Reza ;

Hussain, Nawab .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :5784-5789

[8]

Ciric L, 2010, PUBL MATH-DEBRECEN, V76, P31

[9] Cone metric spaces and fixed point theorems of contractive mappings [J].

Huang Long-Guang ;

Zhang Xian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1468-1476

[10]

Hussain N, 2010, J NONLINEAR CONVEX A, V11, P475

← 1 2 →