Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.29252/ijmsi
14
8888
13
en
jalali
1399
1
1
gregorian
2020
4
1
15
1
online
1
fulltext
en
The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph
عمومى
General
پژوهشي
Research paper
<p>In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a Banach contractive type mapping in algebraic cone metric spaces associated with an algebraic distance and endowed with a graph.</p>
Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping
41
52
http://ijmsi.ir/browse.php?a_code=A-10-2588-1&slc_lang=en&sid=1
K.
Fallahi
fallahi1361@gmail.com
`10031947532846006961`

10031947532846006961
Yes
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
Gh.
Soleimani Rad
gh.soleimani2008@gmail.com
`10031947532846006962`

10031947532846006962
No
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran