Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک ایرانیان
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
7
14
8888
13
en
jalali
1393
2
1
gregorian
2014
5
1
9
1
online
1
fulltext
en
نتایجی روی فضاهای نرمدار مخروطی
Some Results on TVS-cone Normed Spaces and Algebraic Cone Metric Spaces
تخصصي
Special
پژوهشي
Research
<p>In this paper we introduce the cone bounded linear mapping and demonstrate a proof to show that the cone norm is continuous. Among other things, we prove the open mapping theorem and the closed graph theorem in TVS-cone normed spaces. We also show that under some restrictions on the cone, two cone norms are equivalent if and only if the topologies induced by them are the same. In the sequel, we introduce the notion of algebraically cone metric and we will show that every algebraically cone metric space has a topology.</p>
Cone bounded, Equivalent cone norms, Algebraically cone metric.
71
80
http://ijmsi.ir/browse.php?a_code=A-10-380-1&slc_lang=en&sid=en
Assadollah
Niknam
`10031947532846002281`

10031947532846002281
No
professor
Saeedeh
Shamsi Gamchi
`10031947532846002282`

10031947532846002282
Yes
Ph.D student
Mohammad
Janfada
`10031947532846002283`

10031947532846002283
No
associate professor