Some relations between n-tuple fixed point and fixed point results

被引：31
作者：
Rad, Ghasem Soleimani [1 ,3 ]
Shukla, Satish [2 ]
Rahimi, Hamidreza [3 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Young Researchers & Elite Club, Tehran, Iran
[2] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Indore 453331, Madhya Pradesh, India
[3] Islamic Azad Univ, Cent Tehran Branch, Fac Sci, Dept Math, Tehran, Iran
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2015年 / 109卷 / 02期
关键词：
Fixed point; n-Tuple fixed point; Abstract metric spaces; Metric-like spaces; Coupled fixed point; PARTIAL METRIC-SPACES; COMPATIBLE MAPPINGS; THEOREMS; CONTRACTIONS;
D O I：
10.1007/s13398-014-0196-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we compare relation between n-tuple fixed point results and fixed point theorems in abstract metric spaces and metric-like spaces. Actually, we show that the results of n-tuple fixed point can be obtained from fixed point theorems and conversely. Thus, some recent results about both fixed points and n-tuple fixed points are equivalent against the claims of some authors.
引用
收藏
页码：471 / 481
页数：11
相关论文
共 62 条
[31]  
Matthews S.G., 1994, Annals of the New York Academy of Sciences, V728, P183, DOI 10.1111/j.1749-6632.1994.tb44144.x
[32]  
Mukhamadiev E.M., 1969, IZVESTIJA AN TADZH S, V10, P8
[33]   Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces [J].
Nashine, Hemant Kumar ;
Kadelburg, Zoran ;
Radenovic, Stojan .
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) :2355-2365
[34]  
Olatinwo M., 2011, ANN U FERRARA SEZ 7, V57, P173
[35]   The canonical partial metric and the uniform convexity on normed spaces [J].
Oltra, S. ;
Romaguera, S. ;
Sanchez-Perez, E. A. .
APPLIED GENERAL TOPOLOGY, 2005, 6 (02) :185-194
[36]   Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces [J].
Paesano, Daniela ;
Vetro, Pasquale .
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (03) :911-920
[37]  
Perov A. I., 1964, KIEV NAUK DUMKA, P115
[38]  
Radenovic S., 2013, J OPER, V2013, P8, DOI 10.1155/2013/290525
[39]  
Radenovic S., 2013, Asian J. Math. Appl., V2013
[40]  
Radenovic S., 2014, ARAB J MATH SCI, V20, P29, DOI DOI 10.1016/J.AJMSC.2013.02.003
1234567