Volume 09 (2020)
Volume 08 (2019)
Volume 07 (2018)
Volume 06 (2017)
Volume 05 (2016)
Volume 04 (2015)
Volume 03 (2014)
Volume 02 (2013)
Volume 01 (2012)
1. A new type of Hyers-Ulam-Rassias stability for Drygas functional equation
Volume 07, Issue 04 , Autumn 2018, Pages 251-260
Abstract
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 Brz\c{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equation. Our results are improvements ... Read More2. Linear \v{C}ech closure spaces
Volume 07, Issue 04 , Autumn 2018, Pages 261-268
Abstract
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 (L\v{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 ... Read More3. A note on spectral mapping theorem
Volume 07, Issue 04 , Autumn 2018, Pages 269-272
Abstract
This paper aims to present the well-known spectral mapping theorem for multi-variable functions. Read More4. Algebraic distance in algebraic cone metric spaces and its properties
Volume 07, Issue 04 , Autumn 2018, Pages 273-280
Abstract
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. Read More5. On a new type of stability of a radical cubic functional equation related to Jensen mapping
Volume 07, Issue 04 , Autumn 2018, Pages 281-292
Abstract
The aim of this paper is to introduce and solve the radical cubic functional equation $f\left(\sqrt[3]{x^{3}+y^{3}}\right)+f\left(\sqrt[3]{x^{3}-y^{3}}\right)=2f(x)$. We also investigate some stability and hyperstability results for the ... Read More6. Digital cohomology groups of certain minimal surfaces
Volume 07, Issue 04 , Autumn 2018, Pages 293-305
Abstract
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups ... Read More7. On the solving matrix equations by using the spectral representation
Volume 07, Issue 04 , Autumn 2018, Pages 307-316