Some new results on complete \(U^*_n\)--metric space
-
2095
Downloads
-
3681
Views
Authors
Akbar Dehghan Nezhad
- Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
Najmeh Khajuee
- Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
Abstract
In this paper, we give some new definitions of \(U^*_n\)-metric spaces and we prove a common fixed point theorem
for two mappings under the condition of weakly compatible and establish common fixed point for sequence
of generalized contraction mappings in complete \(U^*_n\)-metric space.
Share and Cite
ISRP Style
Akbar Dehghan Nezhad, Najmeh Khajuee, Some new results on complete \(U^*_n\)--metric space, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 216--226
AMA Style
Dehghan Nezhad Akbar, Khajuee Najmeh, Some new results on complete \(U^*_n\)--metric space. J. Nonlinear Sci. Appl. (2013); 6(3):216--226
Chicago/Turabian Style
Dehghan Nezhad, Akbar, Khajuee, Najmeh. "Some new results on complete \(U^*_n\)--metric space." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 216--226
Keywords
- \(U^*_n\)-metric space
- complete \(U^*_n\)-metric space
- sequence of contractive mapping.
MSC
References
-
[1]
A. Bagheri Vakilabad, S. Mansour Vaezpour, Generalized contractions and common fixed point theorems concerning \(\tau\)- distance, J. Nonlinear Sci. Appl., 3 (3) (2010), 78-86.
-
[2]
L. W. Cohen, C. Goffman, The topology of ordered Abelian groups, Trans. Amer. Math. Soc., 67 (1949), 310-319.
-
[3]
A. Dehghan Nezhad, Z. Aral, The topology of GB-metric spaces, ISRN. Mathematical Analysis, Hindawi (2011)
-
[4]
A. Dehghan Nezhad, H. Mazaheri , New results in G-best approximation in G-metric spaces, Ukrainian Math. J., 62 (4) (2010), 648-654.
-
[5]
B. C. Dhage, A common fixed point principle in D-metric spaces, Bulletin of the Calcutta Mathematical Society, 91 (6) (1999), 475-480.
-
[6]
G. Jungck, B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math., 29 (3) (1998), 227-238.
-
[7]
N. V. Luong, N. X. Thuan, Common fixed point theorems in compact \(D^*\)-metric spaces, Internationnal Mathematical Forum., 6 (13) (2011), 605-612.
-
[8]
H. K. Nashine, Coupled common fixed point results in ordered G-metric spaces, J. Nonlinear Sci. Appl., 1 (2012), 1-13.
-
[9]
V. Popa, A. M. Patriciu , A general fixed point theorem for pairs of weakly compatible mappings in G-metric spaces, J. Nonlinear Sci. Appl., 5 (2012), 151-160.
-
[10]
S. Sedghi, M.S. Khan, N. Shobe , Fixed point theorems for six weakly compatible mappings in \(D^*\)-metric spaces, J. Appl. Math. Informatics., 27 (2) (2009), 351-363.
-
[11]
S. Sedghi, S. Nabi, Z. Haiyun, A common fixed point theorems for in \(D^*\)-metric spaces, Hindawi Publishing Corporation. Fixed point Theory and Applications , Article ID 27906, doi: 10.1155. , 2007 (2007), 13 pages.
-
[12]
S. Shaban, S. Nabi, Z. Haiyun, S. Shahram, Common fixed point theorems for two mappings in \(D^*\)-metric spaces , Journal of prime research in mathematics, 4 (2008), 132-142.