Fixed point theorems for Ciric type mapping and application to integral equation

被引：0

作者：

Ume, Jeong Sheok ^{[1
]}

机构：

[1] Changwon Natl Univ, Dept Math, Chang Won 641773, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

新加坡国家研究基金会;

关键词：

NONLINEAR CONTRACTIONS; EXISTENCE;

D O I：

10.1186/s13663-015-0370-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of Ciric type single-valued mapping with respect to u-distance and prove some fixed point theorems for this mapping. An example is given to show that our results are a proper extension of many well-known results. As an application, we establish the existence of a solution for an integral equation.

引用

页数：17

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] Coupled fixed point results in cone metric spaces for (w)over-tilde-compatible mappings [J].

Aydi, Hassen ;

Samet, Bessem ;

Vetro, Calogero .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[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] FIXED-POINT THEOREMS FOR MAPPINGS SATISFYING INWARDNESS CONDITIONS [J].

CARISTI, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 215 (JAN) :241-251

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

CIRIC, LB .

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

[6] 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

[7] Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces [J].

Ciric, Ljubomir .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :2009-2018

[8] Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space [J].

Cvetkovic, Aleksandar S. ;

Stanic, Marija P. ;

Dimitrijevic, Sladjana ;

Simic, Suzana .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[9] Suzuki-type fixed point results in metric type spaces [J].

Hussain, Nawab ;

Doric, Dragan ;

Kadelburg, Zoran ;

Radenovic, Stojan .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[10] Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces [J].

Jungck, G. ;

Radenovic, S. ;

Radojevic, S. ;

Rakocevic, V. .

FIXED POINT THEORY AND APPLICATIONS, 2009, :1-13

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