New results in quasi cone metric spaces
-
2042
Downloads
-
2745
Views
Authors
Taja Yaying
- Department of Mathematics, Dera Natung Govt. College, Itanagar-791 009, Arunachal Pradesh, India.
Bipan Hazarika
- Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791 112, Arunachal Pradesh, India.
Huseyin Cakalli
- Faculty of Arts and Sciences, Maltepe University, Marmara EğItIm Köyü, TR 34857, Maltepe, Istanbul-Turkey.
Abstract
In this paper, we prove some interesting results using forward and backward convergence in quasi
cone metric spaces. We study forward and backward sequential compactness, sequential countably
compactness, and sequential continuity property in quasi cone metric spaces and give some interesting
results.
Share and Cite
ISRP Style
Taja Yaying, Bipan Hazarika, Huseyin Cakalli, New results in quasi cone metric spaces, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 435-444
AMA Style
Yaying Taja, Hazarika Bipan, Cakalli Huseyin, New results in quasi cone metric spaces. J Math Comput SCI-JM. (2016); 16(3):435-444
Chicago/Turabian Style
Yaying, Taja, Hazarika, Bipan, Cakalli, Huseyin. "New results in quasi cone metric spaces." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 435-444
Keywords
- Quasi cone metric space
- forward convergence
- backward convergence
- ff-continuous
- forward complete
- forward sequential countably compactness.
MSC
References
-
[1]
M. Abbas, G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces , J. Math. Anal. Appl., 341 (2008), 416-420.
-
[2]
M. Abbas, B. E. Rhoades, Fixed and periodic point results in cone metric spaces , Appl. Math. Lett., 22 (2009), 511-515.
-
[3]
T. Abdeljawad, E. Karapinar , Quasicone metric spaces and generalizations of Caristi Kirk's theorem , Fixed Point Theory Appl., 2009 (2009 ), 9 pages.
-
[4]
G. E. Albert , A note on quasi-metric spaces, Bull. Amer. Math. Soc., 47 (1941), 479-482.
-
[5]
H. Çakalli, Sequential definitions of compactness , Appl. Math. Lett., 21 (2008), 594-598.
-
[6]
H. Çakalli, On G-continuity, Comput. Math. Appl., 61 (2011), 313-318.
-
[7]
H. Çakalli, Half quasi Cauchy sequences, arXiv preprint, (2012),
-
[8]
H. Çakalli , Upward and downward statistical continuities , Filomat, 29 (2015), 2265-2273.
-
[9]
H. Çakalli , On variations of quasi-Cauchy sequences in cone metric spaces, Filomat, 30 (2016), 603-610.
-
[10]
H. Çakalli, A. Sönmez , Slowly oscillating continuity in abstract metric spaces, Filomat, 27 (2013), 925-930.
-
[11]
K. P. Chi, T. Van An, Dugundji's theorem for cone metric spaces , Appl. Math. Lett., 24 (2011), 387-390.
-
[12]
J. Collins, J. Zimmer , An asymmetric Arzelà-Ascoli theorem, Topology Appl., 154 (2007), 2312-2322.
-
[13]
R. Engelking , General topology, Translated from the Polish by the author, Second edition, Sigma Series in Pure Mathematics, Heldermann Verlag, Berlin (1989)
-
[14]
L. G. Huang, X. Zhang , Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007), 1468-1476.
-
[15]
M. Khani, M. Pourmahdian , On the metrizability of cone metric spaces , Topology Appl., 158 (2011), 190-193.
-
[16]
H.-P. A. Künzi , A note on sequentially compact quasipseudometric spaces, Monatsh. Math., 95 (1983), 219-220.