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
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
[41]  
Rahimi H., 2013, Fixed Point Theory in Various Spaces
[42]  
Rahimi H, 2014, THAI J MATH, V12, P1
[43]   Quadrupled fixed point results in abstract metric spaces [J].
Rahimi, Hamidreza ;
Radenovic, Stojan ;
Rad, Ghasem Soleimani ;
Kumam, Poom .
COMPUTATIONAL & APPLIED MATHEMATICS, 2014, 33 (03) :671-685
[44]   SOME COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONE METRIC TYPE SPACE [J].
Rahimi, Hamidreza ;
Vetro, Pasquale ;
Rad, Ghasem Soleimani .
MISKOLC MATHEMATICAL NOTES, 2013, 14 (01) :233-243
[45]   Fixed and periodic point theorems for T-contractions on cone metric spaces [J].
Rahimi, Hamidreza ;
Rhoades, B. E. ;
Radenovic, Stojan ;
Rad, Ghasem Soleimani .
FILOMAT, 2013, 27 (05) :881-888
[46]  
Rajic V C, 2013, THAI J MATH IN PRESS
[47]   Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings" [J].
Rezapour, Sh. ;
Hamlbarani, R. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :719-724
[48]   COMPARISON OF VARIOUS DEFINITIONS OF CONTRACTIVE MAPPINGS [J].
RHOADES, BE .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 226 (FEB) :257-290
[49]   Partial metric monoids and semivaluation spaces [J].
Romaguera, S ;
Schellekens, M .
TOPOLOGY AND ITS APPLICATIONS, 2005, 153 (5-6) :948-962
[50]   A Kirk Type Characterization of Completeness for Partial Metric Spaces [J].
Romaguera, Salvador .
FIXED POINT THEORY AND APPLICATIONS, 2010,