G-(F,tau)-CONTRACTIONS IN PARTIAL RECTANGULAR METRIC SPACES ENDOWED WITH A GRAPH AND FIXED POINT THEOREMS

被引:0
作者
Shukla, Satish [1 ]
机构
[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Gram Baroli Rd, Indore 453331, MP, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2016年 / 6卷 / 02期
关键词
F-contraction; partial rectangular metric space; fixed point; graph;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the notion of G-(F, tau)-contractions in the context of partial rectangular metric spaces endowed with a graph is introduced. Some fixed point theorems for G-(F, tau)-contractions are also proved. The results of this paper generalize, extend, and unify some known results. Some examples are provided to illustrate the results proved herein.
引用
收藏
页码:342 / 353
页数:12
相关论文
共 50 条
[31]   Fixed point theorems for Ćirić-type strong almost contractions on partial metric spaces [J].
Özlem Acar ;
Vasile Berinde ;
Ishak Altun .
Journal of Fixed Point Theory and Applications, 2012, 12 :247-259
[32]   Generalized contractions in metric spaces endowed with a graph [J].
Chifu, Cristian ;
Petrusel, Gabriela .
FIXED POINT THEORY AND APPLICATIONS, 2012, :1-9
[33]   Generalized contractions in metric spaces endowed with a graph [J].
Cristian Chifu ;
Gabriela Petruşel .
Fixed Point Theory and Applications, 2012
[34]   SOME FIXED POINT THEOREMS FOR ORDERED REICH TYPE CONTRACTIONS IN CONE RECTANGULAR METRIC SPACES [J].
Malhotra, S. K. ;
Shukla, S. ;
Sen, R. .
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2013, 82 (02) :165-175
[35]   New fixed point theorems for generalized F-contractions in complete metric spaces [J].
Jamshaid Ahmad ;
Ahmed Al-Rawashdeh ;
Akbar Azam .
Fixed Point Theory and Applications, 2015
[36]   New fixed point theorems for generalized F-contractions in complete metric spaces [J].
Ahmad, Jamshaid ;
Al-Rawashdeh, Ahmed ;
Azam, Akbar .
FIXED POINT THEORY AND APPLICATIONS, 2015,
[37]   FIXED POINT THEOREMS FOR SUBSEQUENTIALLY MULTI-VALUED Fδ-CONTRACTIONS IN METRIC SPACES [J].
Beloul, Said ;
Kaddouri, Heddi .
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (02) :379-392
[38]   New fixed point theorems for --contractions in ordered metric spaces [J].
Parvaneh, Vahid ;
Golkarmanesh, Farhan ;
Hussain, Nawab ;
Salimi, Peyman .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (04) :905-925
[39]   FIXED POINT THEOREMS FOR ( Ψ-Φ)-CONTRACTIONS IN GENERALIZED NEUTROSOPHIC METRIC SPACES [J].
Johnsy, J. ;
Jeyaraman, M. .
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 16 (01) :13-25
[40]   FIXED POINT THEOREMS FOR CYCLIC φ-CONTRACTIONS IN ORDERED METRIC SPACES [J].
Harjani, J. ;
Lopez, B. ;
Sadarangani, K. .
FIXED POINT THEORY, 2013, 14 (02) :359-368