Contraction principles in \(M_s\)-metric spaces
-
2308
Downloads
-
3946
Views
Authors
N. Mlaiki
- Department of Mathematical Sciences, Prince Sultan University.
N. Souayah
- Department of Natural Sciences, Community College, King Saud University.
K. Abodayeh
- Department of Mathematical Sciences, Prince Sultan University.
T. Abdeljawad
- Department of Mathematical Sciences, Prince Sultan University.
Abstract
In this paper, we give an interesting extension of the partial S-metric space which was introduced [N. Mlaiki, Univers. J.
Math. Math. Appl., 5 (2014), 109–119] to the \(M_s\)-metric space. Also, we prove the existence and uniqueness of a fixed point for
a self-mapping on an \(M_s\)-metric space under different contraction principles.
Share and Cite
ISRP Style
N. Mlaiki, N. Souayah, K. Abodayeh, T. Abdeljawad, Contraction principles in \(M_s\)-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 575--582
AMA Style
Mlaiki N., Souayah N., Abodayeh K., Abdeljawad T., Contraction principles in \(M_s\)-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(2):575--582
Chicago/Turabian Style
Mlaiki, N., Souayah, N., Abodayeh, K., Abdeljawad, T.. "Contraction principles in \(M_s\)-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 575--582
Keywords
- Functional analysis
- \(M_s\)-metric space
- fixed point.
MSC
References
-
[1]
T. Abdeljawad, Fixed points for generalized weakly contractive mappings in partial metric spaces, Math. Comput. Modelling , 54 (2011), 2923–2927.
-
[2]
T. Abdeljawad, Meir-Keeler \(\alpha\)-contractive fixed and common fixed point theorems, Fixed Point Theory Appl., 2013 (2013 ), 10 pages.
-
[3]
T. Abdeljawad, H. Aydi, E. Karapınar , Coupled fixed points for Meir-Keeler contractions in ordered partial metric spaces, Math. Probl. Eng., 2012 (2012), 20 pages.
-
[4]
T. Abdeljawad, E. Karapınar, K. Taş, A generalized contraction principle with control functions on partial metric spaces, Comput. Math. Appl., 63 (2012), 716–719.
-
[5]
I. Altun, A. Erduran, Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory Appl., 2011 (2011 ), 10 pages.
-
[6]
I. Altun, F. Sola, H. Simsek, Generalized contractions on partial metric spaces, Topology Appl., 157 (2010), 2778–2785.
-
[7]
M. Asadi, E. Karapınar, P. Salimi, New extension of p-metric spaces with some fixed-point results on M-metric spaces, J. Inequal. Appl., 2014 (2014), 9 pages.
-
[8]
S. G. Matthews, Partial metric topology , Papers on general topology and applications, Flushing, NY, (1992), 183–197, Ann. New York Acad. Sci., 728 (1994),
-
[9]
N. Mlaiki, A contraction principle in partial S-metric spaces, Univers. J. Math. Math. Appl., 5 (2014), 109–119.
-
[10]
N. Mlaiki, Common fixed points in complex S-metric space, Adv. Fixed Point Theory, 4 (2014), 509–524.
-
[11]
N. Mlaiki , \(\alpha-\psi\)-contractive mapping on S-metric space, Math. Sci. Lett., 4 (2015), 9–12.
-
[12]
N. Mlaiki, A. Zarrad, N. Souayah, A. Mukheimer, T. Abdeljawad, Fixed point theorems in \(M_b\)-metric spaces, J. Math. Anal., 7 (2016), 1–9.
-
[13]
A. Shoaib, M. Arshad, J. Ahmad, Fixed point results of locally contractive mappings in ordered quasi-partial metric spaces, Sci. World J., 2013 (2013), 8 pages.
-
[14]
S. Shukla, Partial b-metric spaces and fixed point theorems, Mediterr. J. Math., 11 (2014), 703–711.
-
[15]
N. Souayah, A fixed point in partial \(S_b\)-metric spaces, An. St. Univ. Ovidius Constanţa, 24 (2016), 351–362.
-
[16]
N. Souayah, N. Mlaiki, A fixed point in \(S_b\)-metric spaces, J. Math. Comput. Sci., 16 (2016), 131–139.
-
[17]
O. Valero, On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6 (2005), 229–240.