**Volume 4 (2022)**

**Volume 3 (2021)**

**Volume 2 (2020)**

**Volume 1 (2019)**

Number of Articles: 58

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

*Volume 1, Issue 1 , February 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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##### Toeplitzness of weighted composition operators

*Volume 2, Issue 1 , April 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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##### Analytic differenceability of functions

*Volume 3, Issue 1 , February 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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##### Intuitionistic fuzzy stability of the heptic functional equation

*Volume 3, Issue 2 , June 2021, , Pages 1-14*

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**Abstract **

In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of Hyers-Ulam stability for a heptic functional equation that was introduced by Xu and ...
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##### On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces

*Volume 3, Issue 3 , September 2021, , Pages 1-25*

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**Abstract **

In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained ...
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##### An existence result for a class of (p(x),q(x))-Laplacian system via sub-supersolution method

*Volume 3, Issue 4 , December 2021, , Pages 1-8*

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**Abstract **

This study concerns the existence of positive solution for the following nonlinear boundary value problem\begin{gather*}-\Delta_{p(x)} u= a(x)h(u) + f(v) \quad\text{in }\Omega\\-\Delta_{q(x)} ...
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##### Best simultaneous approximation in $L^{p}(S,X)$

*Volume 4, Issue 1 , January 2022, , Pages 1-7*

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**Abstract **

As a counterpart to the best approximation in normed linear spaces, the best simultaneous approximation was introduced. In this paper, we shall consider relation between simultaneous ...
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##### Some critical remarks of recent results on F-contractions in b-metric spaces

*Volume 4, Issue 2 , April 2022, , Pages 1-10*

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**Abstract **

In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function ...
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##### On some new observations on Kurepa's left factorial

*Volume 4, Issue 3 , June 2022, , Pages 1-8*

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**Abstract **

After a brief historical excursus, we prove in a simple way some properties of Kurepa's function, the left factorial. We introduce Kurepa's hypothesis, propose a new description, ...
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##### On various properties of module Lau product of algebras

*Volume 4, Issue 4 , December 2022, , Pages 1-12*

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**Abstract **

Let $\mathcal{A},$ $\mathcal{B},$ and $\mathcal{X}$ be complex algebras, $\theta : \mathcal{B} \longrightarrow \mathcal{X}$ be an algebra homomorphism, and let $\mathcal{A}$ be an $\mathcal{X}$-bimodule. ...
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##### A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

*Volume 2, Issue 1 , April 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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##### On closedness of convolution of two sets

*Volume 3, Issue 4 , December 2021, , Pages 9-12*

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**Abstract **

In this note, we give an abstract version of the fact that convolution of two closed and compact subsets of a hypergroup is a closed set.
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##### Perturbed second-order state-dependent Moreau's sweeping process

*Volume 4, Issue 1 , January 2022, , Pages 9-23*

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**Abstract **

In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand ...
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##### Stability analysis of transmitter receptors model

*Volume 4, Issue 3 , June 2022, , Pages 9-16*

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**Abstract **

The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined ...
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##### Automatic continuity of almost Jordan derivations on special Jordan Banach algebras

*Volume 4, Issue 2 , April 2022, , Pages 11-16*

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**Abstract **

The following is the question form of Kaplansky conjecture of 1958. Is every derivation on semisimple Banach algebra continuous? Kaplansky conjecture was proved by Johnson and Sinclair ...
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##### Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces

*Volume 3, Issue 1 , February 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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##### On a nonlinear abstract second-order integrodifferential equation part I

*Volume 3, Issue 4 , December 2021, , Pages 13-24*

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**Abstract **

The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal ...
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##### Anti complex fuzzy Lie subalgebras under $S$-norms

*Volume 4, Issue 4 , December 2022, , Pages 13-26*

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**Abstract **

The objectives of this article are to present the notions of anti complex fuzzy subalgebras and anti complex fuzzy ideals of Lie algebras under $S$-norms and we prove that the ...
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##### On character amenability of weighted convolution algebras on certain semigroups

*Volume 3, Issue 2 , June 2021, , Pages 15-26*

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**Abstract **

In this work, we study the character amenability of weighted convolution algebras $\ell^{1} (S,\omega)$, where $ S $ is a semigroup of classes of inverse semigroups with a uniformly ...
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##### The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

*Volume 2, Issue 1 , April 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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##### t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

*Volume 4, Issue 2 , April 2022, , Pages 17-34*

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**Abstract **

In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify ...
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##### Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms

*Volume 4, Issue 3 , June 2022, , Pages 17-34*

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**Abstract **

In this article, by using norms($T$ and $C$), we present the concept of intuitionistic fuzzy implicative ideals, intuitionistic fuzzy closed implicative ideals and intuitionistic ...
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##### Locally finite inverse semigroups

*Volume 2, Issue 1 , April 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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##### Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials

*Volume 3, Issue 4 , December 2021, , Pages 25-40*

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**Abstract **

In this paper, an efficient numerical method based on operational matrices of the second kind Chebyshev polynomials is used for the solution of a coupled system of fractional-order ...
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##### On the zeros and critical points of a polynomial

*Volume 4, Issue 1 , January 2022, , Pages 25-28*