2021-10-21T00:17:57Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=33716
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Fixed Points of $p$-Hybrid $L$-Fuzzy Contractions
Shehu Shagari
Mohammed
Ibrahim
Fulatan
Yahaya
Sirajo
In this paper, the notion of $p$-hybrid $L$-fuzzy contractions in the framework of $b$-metric space is introduced. Sufficient conditions for existence of common $L$-fuzzy fixed points under such contractions are also investigated. The established ideas are generalizations of many concepts in fuzzy mathematics. In the case where our postulates are reduced to their classical variants, the concept presented herein merges and extends several significant and well-known fixed point theorems in the setting of both single-valued and multi-valued mappings in the corresponding literature of discrete and computational mathematics. A few of these special cases are pointed out and discussed. In support of our main hypotheses, a nontrivial example is provided.
$b$-metric space
$L$-fuzzy set, $L$-fuzzy fixed point, $p$-hybrid $L$-fuzzy contraction, $L$-fuzzy set-valued map
2021
08
01
1
25
https://scma.maragheh.ac.ir/article_244325_c648b927000c502ab11bf1a0d23c5719.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
Deeplai
Khurana
Raj
Garg
Sarika
Verma
Gangadharan
Murugusundaramoorthy
We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.
Harmonic mapping
Convolution
Bernardi operator
Coefficient conditions
Extreme points
2021
08
01
27
39
https://scma.maragheh.ac.ir/article_244326_f0cd2e036d7c32a04d70ef058590514a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
On Some Linear Operators Preserving Disjoint Support Property
Noha
Eftekhari
Ali
Bayati Eshkaftaki
The aim of this work is to characterize all bounded linear operators $T:\lpi\rightarrow\lpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $\lpi$ are in the class of such operators, where $2\neq p\in [1,\infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $\mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.
Disjoint support
Codomain
Linear preserver
Isometry
2021
08
01
41
49
https://scma.maragheh.ac.ir/article_244939_078140515abfaf77ad6892470871daab.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces
Majid
Zamani
S. Mansour
Vaezpour
Erfan
Salavati
The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.
Poisson random measure
Mild solution
Measure of noncompactness
Condensing operator
2021
08
01
51
68
https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Bicomplex Frames
Aiad
Elgourari
Allal
Ghanmi
Mohammed
Souid El Ainin
We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting of bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components. We also extend some classical results from frames theory to bc-frames and show that some of them do not remain valid for bc-frames in general. The construction of bc-frame operators and Weyl--Heisenberg bc-frames are also discussed.
Bicomplex
bc-frames
bc-frame operator
Weyl-Heisenberg bc-frame
2021
08
01
69
89
https://scma.maragheh.ac.ir/article_244941_12e27b6ba8b0f892ded6d40c0202430a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$
Hatim
Labrigui
Samir
Kabbaj
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $. We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving integral $K$-operator frame and we establish some new results.
$K$-frames
integral $K$-operator frames
$C^{ast}$-algebra
Hilbert $mathcal{A}$-module
2021
08
01
91
107
https://scma.maragheh.ac.ir/article_245093_328f82d1d9d00776e4eca7e437e23d98.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra
Ahmed
El-Sayed
Hind
Hashem
Shorouk
Al-Issa
In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.
Hybrid differential equations
Quadratic differential equation
Dhage hybrid fixed point theorem
Banach algebra
2021
08
01
109
131
https://scma.maragheh.ac.ir/article_245096_18eedb65927f53de7073ff3350f15538.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2021
18
3
Woven g-Fusion Frames in Hilbert Spaces
Maryam
Mohammadrezaee
Mehdi
Rashidi-Kouchi
Akbar
Nazari
Ali
Oloomi
In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.
Frame
G-fusion Frame
Woven frame
Weaving g-fusion frame
Perturbation
2021
08
01
133
151
https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdf