Ciric Type Generalized F-contractions on Complete Metric Spaces and Fixed Point Results

被引：93

作者：

Minak, Gulhan ^{[1
]}

Helvaci, Asuman ^{[1
]}

Altun, Ishak ^{[1
]}

机构：

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

来源：

FILOMAT | 2014年 / 28卷 / 06期

关键词：

Fixed point; F-contraction; generalized F-contraction; complete metric space; THEOREMS; PRINCIPLE; MAPPINGS; MAPS;

D O I：

10.2298/FIL1406143M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Wardowski [15] introduced the concept of F-contraction on complete metric space. This type contraction is proper generalization of ordinary contraction. In the present paper, we give some fixed point results for generalized F-contractions including Ciric type generalized F-contraction and almost F-contraction on complete metric space. Also, we give some illustrative examples.

引用

页码：1143 / 1151

页数：9

共 16 条

[1] Fixed point theory for generalized contractive maps of Meir-Keeler type [J].

Agarwal, RP ;

O'Regan, D ;

Shahzad, N .

MATHEMATISCHE NACHRICHTEN, 2004, 276 :3-22

[2]

Berinde V., 2003, Fixed Point Theory, V4, P131

[3]

Berinde V., 2004, Nonlinear Anal. Forum., V9, P43

[4]

Berinde V., 2003, Carpatian J. Math, V19, P7

[5]

Berinde V, 2007, LECT NOTES MATH, V1912, P1

[6] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

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

[7]

Ciric L.B., 2003, Fixed Point Theory. Contraction Mapping Principle

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

CIRIC, LB .

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

[9] Some new results and generalizations in metric fixed point theory [J].

Du, Wei-Shih .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (05) :1439-1446

[10] GENERALIZATION OF A FIXED-POINT THEOREM OF REICH [J].

HARDY, GE ;

ROGERS, TD .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (02) :201-206

← 1 2 →