SOME FIXED POINT RESULTS IN EXTENDED PARAMETRIC B-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

被引:0
作者
Parvaneh, V [1 ]
Hussain, N. [2 ]
Kutbi, M. A. [2 ]
Khorshidi, M. [3 ]
机构
[1] Islamic Azad Univ, Gilan E Gharb Branch, Dept Math, Gilan E Gharb, Iran
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[3] Firouzabad Inst Higher Educ, Dept Math, Firouzabad, Fars, Iran
来源
JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 10卷 / 05期
关键词
metric space; b-metric space; parametric b-metric space; fixed point; CONTRACTIONS; MAPPINGS; THEOREMS;
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, we introduce the concept of extended parametric b-metric space and investigate the existence of fixed points for some contractive type mappings in such spaces. Consequently, we derive some new fixed point results in triangular ordered extended fuzzy b-metric spaces. Moreover, some examples and an application are provided here to illustrate the applicability of the obtained results.
引用
收藏
页码:14 / 33
页数:20
相关论文
共 16 条
[1]   SOME FIXED POINT THEOREMS ON FUZZY METRIC SPACES WITH IMPLICIT RELATIONS [J].
Altun, Ishak ;
Turkoglu, Duran .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (01) :111-124
[2]  
Dence T.P., 2013, Appl. Math., V4, P887, DOI [DOI 10.4236/AM.2013.46122, DOI 10.4236/am.2013.46122]
[3]   Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces [J].
Dukic, Dusan ;
Kadelburg, Zoran ;
Radenovic, Stojan .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[4]   CONTRACTIVE MAPPINGS [J].
GERAGHTY, MA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (02) :604-608
[5]   Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [J].
Hussain, N. ;
Salimi, P. .
SCIENTIFIC WORLD JOURNAL, 2014,
[6]   A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces [J].
Hussain, N. ;
Khaleghizadeh, S. ;
Salimi, P. ;
Abdou, Afrah A. N. .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[7]   KKM mappings in cone b-metric spaces [J].
Hussain, N. ;
Shah, M. H. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) :1677-1684
[8]   Fixed point results for various contractions in parametric and fuzzy b-metric spaces [J].
Hussain, Nawab ;
Salimi, Peyman ;
Parvaneh, Vahid .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05) :719-739
[9]   FIXED-POINT THEOREMS BY ALTERING DISTANCES BETWEEN THE POINTS [J].
KHAN, MS ;
SWALEH, M ;
SESSA, S .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1984, 30 (01) :1-9
[10]  
Nadaban S, 2016, INT J COMPUT COMMUN, V11, P273