Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
Fri, 14 Dec 2018 22:04:58 +0100FeedCreatorJournal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.A new type of Hyers-Ulam-Rassias stability for Drygas functional equation
http://jlta.iauctb.ac.ir/article_542801_115391.html
In this paper, we prove the generalized Hyers-Ulam-Rassias stability for the Drygas functional equation$$f(x+y)+f(x-y)=2f(x)+f(y)+f(-y)$$ in Banach spaces by using the Brzc{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equation. Our results are improvements and generalizations of the main result of M. Piszczek and J. Szczawi'{n}ska [21].Fri, 30 Nov 2018 20:30:00 +0100Linear \v{C}ech closure spaces
http://jlta.iauctb.ac.ir/article_542813_115391.html
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and product linear v{C}ech closure operators. Lastly, we describe the Moore class on the Lv{C}CS and prove that it is a vector lattice with sufficient properties.Fri, 30 Nov 2018 20:30:00 +0100A note on spectral mapping theorem
http://jlta.iauctb.ac.ir/article_542814_115391.html
This paper aims to present the well-known spectral mapping theorem for multi-variable functions.Fri, 30 Nov 2018 20:30:00 +0100Algebraic distance in algebraic cone metric spaces and its properties
http://jlta.iauctb.ac.ir/article_545075_115391.html
In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.Fri, 30 Nov 2018 20:30:00 +0100