**Volume 4 (2022)**

**Volume 3 (2021)**

**Volume 2 (2020)**

**Volume 1 (2019)**

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Number of Articles: 51

##### 1. 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) = k2[2f(x+y) + f(x-y) + f(y-x)] + 2(k4-1) [f(x) + f(y)] +k2/4(k2-1) [f(2x) + f(2y)]where k is a real number ...
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##### 2. 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 defined by Cψ,φf= ψ·f°φ. In this paper, we study the asymptotically Toeplitzness ...
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##### 3. 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. Since the Bernoulli and Euler polynomials have many similarities, so it motivated us to define differenceability ...
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##### 4. 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 Rassias. This way shows that the concept of stability is related to some fixed point of a suitable operator.
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##### 5. 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 types of mappings generalize from previously known ones within ordinary metric spaces. We have shown by examples ...
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##### 6. 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)} v=b(x)k(v) + g(u) \quad\text{in }\Omega\\u=v= 0 \quad\text{on } \partial \Omega\end{gather*}where $p(x),q(x) ...
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##### 7. 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 proximinality $W$ in $X$ and $L^p(S,W)$ in $L^p(S,X)$ for $1\leq p\leq\infty$. Also, we consider the relation between ...
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##### 8. 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 F: $\left( 0,+\infty \right) \rightarrow \left( -\infty ,+\infty \right) .$
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##### 9. 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 expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples ...
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##### 10. 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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##### 11. 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 side of the problem is governed by the so-called nonconvex state-dependent sweeping process and contains a general perturbation ...
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##### 12. 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 in 1968. The concept of almost Jordan derivations on Jordan Banach algebras is introduced in this article. Also, Kaplansky ...
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##### 13. 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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##### 14. 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 generator of $C_0$- semigroup in a Banach space, the fixed point theorems of Schauder and Banach are used to establish ...
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##### 15. 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 locally finite idempotent set, inverse semigroups with a finite number of idempotents, Clifford semigroups and Rees matrix ...
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##### 16. 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 Banach algebras is established.
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##### 17. 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 the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product ...
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##### 18. 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 disjoint well-ordered countable chains. We also prove that whenS is a locally finite Clifford semigroup, S is ...
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##### 19. 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 integrodifferential equations that the fractional derivative is given in Caputo's sense. The operational matrices of the ...
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##### 20. On the zeros and critical points of a polynomial

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

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**Abstract **

Let $P(z)=a_0 + a_1z + \dots + a_{n-1}z^{n-1}+z^n$ be a polynomial of degree $n.$ The Gauss-Lucas Theorem asserts that the zeros of the derivative $P^\prime (z)= a_1 + \dots +(n-1) a_{n-1}z^{n-2}+nz^{n-1},$ lie in the convex hull of the zeros of $P(z).$ Given a zero of ...
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##### 21. Fixed point results for generalized contractions in S-metric spaces

*Volume 3, Issue 2 , June 2021, , Pages 27-39*

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**Abstract **

In this paper, we discuss the existence of a fixed point for a generalized contraction in S-metric spaces. We furnish some examples in support of our main results. Our results generalize and improve many well-known results in the existing literature.
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##### 22. A new version of the Hahn Banach theorem in b-Banach spaces

*Volume 3, Issue 3 , September 2021, , Pages 27-32*

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**Abstract **

In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a $b$-Banach space with an application.
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##### 23. Certain dense subalgebras of continuous vector-valued operator algebras

*Volume 2, Issue 1 , April 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 that C(X,B) be the continuous, A(X,B) be the analytic, and Lipα(X,B) be the α-Lipschitz B-valued ...
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##### 24. Bicomplex valued bipolar metric spaces and fixed point theorems

*Volume 4, Issue 1 , January 2022, , Pages 29-43*

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**Abstract **

The concept of bicomplex valued bipolar metric space is introduced in this article, and some properties are derived. Also, some fixed point results of contravariant maps satisfying rational inequalities are proved for bicomplex valued bipolar metric spaces.
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##### 25. Some results on disjointness preserving Fredholm operators between certain Banach function algebras

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