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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)   2014 , Volume 9 , Number 1; Page(s) 71 To 80.
 
Paper: 

SOME RESULTS ON TVS-CONE NORMED SPACES AND ALGEBRAIC CONE METRIC SPACES

 
 
Author(s):  NIKNAM ASSADOLLAH, SHAMSI GAMCHI SAEEDEH*, JANFADA MOHAMMAD
 
* DEPARTMENT OF PURE MATHEMATIC, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
 
Abstract: 
In this paper we introduce the cone bounded linear mapping and 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 TVS-cone norms are equivalent if and only if they induce equivalent topologies. In the sequel, the notion of algebraic cone metric is introduced and it is shown that every algebraic cone metric space has a topology and the Banach fixed point theorem for contraction mappings on algebraic cone metric spaces is proved.
 
Keyword(s): CONE BOUNDED, EQUIVALENT CONE NORMS, ALGEBRAIC CONE METRIC
 
 
References: 
 
Click to Cite.
APA: Copy

NIKNAM, A., & SHAMSI GAMCHI, S., & JANFADA, M. (2014). SOME RESULTS ON TVS-CONE NORMED SPACES AND ALGEBRAIC CONE METRIC SPACES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(1), 71-80. https://www.sid.ir/en/journal/ViewPaper.aspx?id=402241



Vancouver: Copy

NIKNAM ASSADOLLAH, SHAMSI GAMCHI SAEEDEH, JANFADA MOHAMMAD. SOME RESULTS ON TVS-CONE NORMED SPACES AND ALGEBRAIC CONE METRIC SPACES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI). 2014 [cited 2021May10];9(1):71-80. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402241



IEEE: Copy

NIKNAM, A., SHAMSI GAMCHI, S., JANFADA, M., 2014. SOME RESULTS ON TVS-CONE NORMED SPACES AND ALGEBRAIC CONE METRIC SPACES. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), [online] 9(1), pp.71-80. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402241.



 
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