Some fixed point results in partially ordered E metric space
Volume 27, Issue 1, pp 86--96
http://dx.doi.org/10.22436/jmcs.027.01.08
Publication Date: March 09, 2022
Submission Date: November 22, 2021
Revision Date: December 13, 2021
Accteptance Date: January 19, 2022
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Authors
A. Nuseir
- Mathematics Department, JUST University, Irbid, Jordan.
Sh. Al-Sharif
- Mathematics Department, Yarmouk University, Irbid, Jordan.
Abstract
The existence and uniqueness of the fixed point theorem for self mapping
meeting certain contractive conditions in partially ordered \(E\) metric
spaces with non-normal positive cone \(E^{+}\) of a real normed space \(E\) with
empty interior are investigated in this research.
Share and Cite
ISRP Style
A. Nuseir, Sh. Al-Sharif, Some fixed point results in partially ordered E metric space, Journal of Mathematics and Computer Science, 27 (2022), no. 1, 86--96
AMA Style
Nuseir A., Al-Sharif Sh., Some fixed point results in partially ordered E metric space. J Math Comput SCI-JM. (2022); 27(1):86--96
Chicago/Turabian Style
Nuseir, A., Al-Sharif, Sh.. "Some fixed point results in partially ordered E metric space." Journal of Mathematics and Computer Science, 27, no. 1 (2022): 86--96
Keywords
- Fixed point
- positive cone
- normed space
MSC
References
-
[1]
M. Ahmadi Zand, A. Dehghan Nezhad, A generalization of partial metric spaces, J. Contemp. Appl. Math., 1 (2011), 86--93
-
[2]
S. Aleksic, Z. Kadelburg, Z. D. Mitrovic, S. Radenovc, A new survey: Cone metric spaces, J. Int. Math. Virtual Inst., 9 (2019), 93--121
-
[3]
M. Al-Khaleel, S. Al-Sharifa, M. Khandaqji, Fixed points for contraction mappings in generalized cone metric spaces, Jordan J. Math. Stat., 5 (2012), 291--307
-
[4]
M. Al-Khaleel, S. Al-Sharif, M. Khandaqji, Some new results and generalizations of fixed point theory in $G$-cone metric, J. Advan. Math. Comp. Sci., 4 (2014), 1542--1550
-
[5]
A. Al-Rawashdeh, W. Shatanawi, M. Khandaqji, Normed ordered and $E$-metric spaces, Int. J. Math. Math. Sci., 2012 (2012), 11 pages
-
[6]
I. A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., 30 (1989), 26--37
-
[7]
S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundam. Math., 3 (1922), 133--181
-
[8]
W. Bani, S. Al-Sharif, H. Almefleh, New results on cyclic nonlinear contractions in partial metric spaces, TWMS J. App. Eng. Math., 5 (2015), 158--168
-
[9]
A. Basile, M. G. Graziano, M. Papadaki, I. A. Polyrakis, Cones with semi-interior points and equilibrium, J. Math. Econom., 71 (2017), 36--48
-
[10]
I. Beg, A. Azam, M. Arshad, Common fixed points for maps on topological vector space cone valued metric spaces, Int. J. Math. Math. Sci., 2009 (2009), 8 pages
-
[11]
L. E. J. Brouwer, Über Abbildung von Mannigfaltigkeiten, Math. Ann., 71 (1912), 97--115
-
[12]
S. Czerwik, Contraction mappings in $b$-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5--11
-
[13]
W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal., 72 (2010), 2259--2261
-
[14]
H. Huang, Topological properties of $E$-metric spaces with applications to fixed point theory, Mathematics, 7 (2019), 14 pages
-
[15]
H. P. Huang, Z. Kadelburg, S. Radenović, A note on some recent results about multivalued mappings in $TVS$-cone metric spaces, J. Adv. Math. Stud., 9 (2016), 330--337
-
[16]
L.-G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007), 1468--1476
-
[17]
S. Janković, Z. Kadelburg, S. Radenović, On cone metric spaces: A survey, Nonlinear Anal., 74 (2011), 2591--2601
-
[18]
Z. Kadelburg, S. Radenović, A note on various types of cones and fixed point results in cone metric spaces, Asian J. Math. Appl., 2013 (2013), 7 pages
-
[19]
H. Kunze, D. La Torre, F. Mendivil, E. R. Vrscay, Generalized fractal transforms and self-similar objects in cone metric spaces, Comput. Math. Appl., 64 (2012), 1761--1769
-
[20]
N. Mehmood, A. Rawashdeh, S. Radenović, New fixed point results for $E$-metric spaces, Positivity, 23 (2019), 1101--1111
-
[21]
Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7 (2006), 289--297
-
[22]
S. Rezapour, R. Hamlbarani, Some notes on the paper: "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl., 345 (2008), 719--724
-
[23]
S. Shukla, Partial $b$--metric spaces and fixed point theorems, Mediterr. J. Math., 11 (2014), 703--711