Suzuki-Wardowski Type Theorems for Generalized α-η-GF-Contractions

被引：0

作者：

Le Hang, Vo Thi ^{[1
]}

Sitthithakerngkiet, Kanokwan ^{[2
]}

机构：

[1] Dong Thap Univ, Journal Sci, Cao Lanh City, Dong Thap Provi, Vietnam

[2] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, Bangkok, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 04期

关键词：

fixed point; F-contraction; Urysohn integral equation; FIXED-POINT THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of a generalized alpha-eta-GF-contraction is introduced and Suzuki-Wardowski type theorems for generalized alpha-eta-GF-contractions are proved. These results generalize and improve the main results of [D. Wardowski, N.V. Dung, Fixed points of F-weak contractions on complete metric spaces, Demonstratio Math. 47 (1) (2014) 146-155, N.V. Dung, V.T.L. Hang, A fixed point theorem for generalized F-contractions on complete metric spaces, Vietnam J. Math. 43 (4) (2015) 743-753, N. Hussain, P. Salimi, Suzuki-Wardowski type fixed point theorems for alpha-GF-contractions, Taiwanese J. Math. 18 (6) (2014) 879-1895]. An application to the Urysohn integral equation is obtained. Examples are also given to illustrate obtained results.

引用

页码：1439 / 1459

页数：21

共 21 条

[1] ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE [J].

Altun, Ishak ;

Minak, Guelhan .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) :1901-1910

[2]

[Anonymous], 2014, Theory Appl. Math. Comput. Sci

[3]

[Anonymous], 2014, TOPICS FIXED POINT T

[4] SUZUKI-WARDOWSKI TYPE FIXED POINT THEOREMS FOR α-GF-CONTRACTIONS [J].

Hussain, N. ;

Salimi, P. .

TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (06) :1879-1895

[5] Fixed Point Theory in α-Complete Metric Spaces with Applications [J].

Hussain, N. ;

Kutbi, M. A. ;

Salimi, P. .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[6]

Janwised J, 2016, THAI J MATH, P37

[7]

Jeong GS, 2007, FIXED POINT THEORY A, V6, P71

[8]

Khammahawong K, 2017, J FIX POINT THEORY A, V19, P2847, DOI 10.1007/s11784-017-0457-6

[9] Fixed Point Theory in Distance Spaces [J].

Cobzas, S. .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (01) :143-143

[10] A Fixed Point Theorem for Generalized F-Contractions on Complete Metric Spaces [J].

Dung N.V. ;

Hang V.T.L. .

Vietnam Journal of Mathematics, 2015, 43 (4) :743-753

← 1 2 3 →