A FIXED POINT THEOREM ON PARTIAL METRIC SPACES SATISFYING AN IMPLICIT RELATION

被引:0
作者
Kim, Chang Il [1 ]
Han, Gil Jun [1 ]
机构
[1] Dankook Univ, Dept Math Educ, 152 Gyeonggi Do, Yongin 16890, Gyeonggi Do, South Korea
来源
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2023年 / 30卷 / 01期
关键词
fixed point; contraction; partial metric space; CONTRACTIONS;
D O I
10.7468/jksmeb.2023.30.1.25
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Popa [14] proved the common fixed point theorem using implicit relations. Saluja [17] proved a fixed point theorem on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.
引用
收藏
页码:25 / 34
页数:10
相关论文
共 17 条
[1]   Generalized Geraghty type mappings on partial metric spaces and fixed point results [J].
Altun I. ;
Sadarangani K. .
Arabian Journal of Mathematics, 2013, 2 (3) :247-253
[2]  
Banach S., 1922, FUND MATH, V3, P133, DOI DOI 10.4064/FM-3-1-133-181
[3]   Partial Metric Spaces [J].
Bukatin, Michael ;
Kopperman, Ralph ;
Matthews, Steve ;
Pajoohesh, Homeira .
AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (08) :708-718
[4]  
Dimri RC, 2017, COMMUN KOREAN MATH S, V32, P375, DOI 10.4134/CKMS.c160127
[5]   Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces [J].
Dukic, Dusan ;
Kadelburg, Zoran ;
Radenovic, Stojan .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[6]   FIXED POINT THEOREM ON PARTIAL METRIC SPACES INVOLVING RATIONAL EXPRESSIONS [J].
Karapinar, Erdal ;
Shatanawi, Wasfi ;
Tas, Kenan .
MISKOLC MATHEMATICAL NOTES, 2013, 14 (01) :135-142
[7]  
Matthews S. G., 1994, Annals of the New York Academy of Sciences, V728, P183, DOI 10.1111/j.1749-6632.1994.tb44144.x
[8]  
Matthews SG., 1992, PARTIAL METRIC TOPOL
[9]   Fixed point theorems for improved α-Geraghty contractions in partial metric spaces [J].
Nazam, Muhammad ;
Arshad, Muhammad ;
Park, Choonkil .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4436-4449
[10]  
Oltra S., 2004, Rend. Istit. Mat. Univ, V36, P17