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Number of Articles: 17

##### 1. Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces

*Volume 1, Issue 1 , Winter 2019, , Pages 1-43*

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**Abstract **

In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange k-Cubic-Quartic functional Equationf(x+ky) + f(kx+y) + f(x-ky) + f(y-kx) = ...
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##### 2. Toeplitzness of weighted composition operators

*Volume 2, Issue 1 , Spring 2020, , Pages 1-8*

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**Abstract **

For a bounded analytic map ψ on the unit disk D and analytic self-map φ of D, a weighted composition operator Cψ,φ on the Hardy space H2=H2(D) is ...
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##### 3. Analytic differenceability of functions

*Volume 3, Issue 1 , Winter 2021, , Pages 1-12*

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**Abstract **

Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. ...
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##### 4. A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

*Volume 2, Issue 1 , Spring 2020, , Pages 9-16*

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**Abstract **

In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor ...
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##### 5. Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces

*Volume 3, Issue 1 , Winter 2021, , Pages 13-31*

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**Abstract **

In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.
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##### 6. The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

*Volume 2, Issue 1 , Spring 2020, , Pages 17-22*

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**Abstract **

In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||, |k|<|2|,in non-Archimedean ...
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##### 7. Locally finite inverse semigroups

*Volume 2, Issue 1 , Spring 2020, , Pages 23-27*

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**Abstract **

In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of ...
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##### 8. Certain dense subalgebras of continuous vector-valued operator algebras

*Volume 2, Issue 1 , Spring 2020, , Pages 28-34*

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**Abstract **

Let X be a compact metric space with at least two elements, B be a unital commutative Banach algebra over the scalar field F=R or C, and α in R with 0<α≤1. Suppose ...
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##### 9. Some results on disjointness preserving Fredholm operators between certain Banach function algebras

*Volume 3, Issue 1 , Winter 2021, , Pages 32-39*

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**Abstract **

For two algebras $\A$ and $\B$, a linear map $T : \A \lo \B$ is disjointness preserving if $x \cdot y = 0$ implies $Tx \cdot Ty = 0$ for all $x, y \in \A$ and is said ...
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##### 10. A new notion of affine sets

*Volume 2, Issue 1 , Spring 2020, , Pages 35-42*

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**Abstract **

In this paper, we investigate the behaviour of e-convex sets and e-affine sets. Moreover, some notions like S(e,a,ρ,α) and e-affine cones are introduced and discussed. We ...
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##### 11. Weakly principally quasi-Baer rings and generalized triangular matrix rings

*Volume 3, Issue 1 , Winter 2021, , Pages 39-45*

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**Abstract **

A ring $R$ is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is right $s$-unital by right semicentral ...
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##### 12. Stability of cosine type functional equations onmodule extension Banach algebras

*Volume 1, Issue 1 , Winter 2019, , Pages 44-49*

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**Abstract **

Let A be a Banach algebra and X be a Banach A-bimodule. In this paper we investigate the stability of the cosine type functional equation φ(ab,a·y+x·b)=φ(ab,x·b-a·y)=2φ(a,x)φ(b,y),on ...
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##### 13. A proof of the Cauchy--Schwarz inequality from the change of reference frame

*Volume 3, Issue 1 , Winter 2021, , Pages 46-47*

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**Abstract **

Inspired by [1] a proof of the Cauchy--Schwarz inequality is given by considering the transformation between two different inertial reference frames.
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##### 14. Stability of quartic functional equation in paranormed spaces

*Volume 3, Issue 1 , Winter 2021, , Pages 48-58*

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**Abstract **

In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.
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##### 15. Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series

*Volume 1, Issue 1 , Winter 2019, , Pages 50-61*

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**Abstract **

This research tends to focus on proving the results of coupled fixed point in partially ordered cone metric spaces by imposing some condition on a self-mapping and a sequence of mappings ...
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##### 16. Cohen’s factorization theorem for ternary Banach algebras

*Volume 1, Issue 1 , Winter 2019, , Pages 62-66*

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**Abstract **

In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.
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##### 17. Intuitionistic fuzzy stability of the heptic functional equation

*Articles in Press, Accepted Manuscript, Available Online from 22 May 2021*