University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Fixed Points of $p$-Hybrid $L$-Fuzzy Contractions
1
25
EN
Shehu Shagari
Mohammed
0000-0002-0365-2878
Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
shagaris@ymail.com
Ibrahim
Aliyu
Fulatan
Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
ialiy@abu.edu.ng
Yahaya
Sirajo
School of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, Nigeria.
surajmt95@gmail.com
10.22130/scma.2021.137899.863
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
https://scma.maragheh.ac.ir/article_244325.html
https://scma.maragheh.ac.ir/article_244325_c648b927000c502ab11bf1a0d23c5719.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
27
39
EN
Deeplai
Khurana
Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.
deepali.02.08.88@gmail.com
Raj
Kumar
Garg
0000-0001-9277-0915
Department of Mathematics, DAV University, Jalandhar-144001, Punjab, India.
rajgarg2012@yahoo.co.in
Sarika
Verma
Department of Mathematics, DAV University, Jalandhar-144001, Punjab, India.
sarika.16984@gmail.com
Gangadharan
Murugusundaramoorthy
0000-0001-8285-6619
School of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - 632014, India.
gmsmoorthy@yahoo.com
10.22130/scma.2021.132155.841
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
https://scma.maragheh.ac.ir/article_244326.html
https://scma.maragheh.ac.ir/article_244326_f0cd2e036d7c32a04d70ef058590514a.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
On Some Linear Operators Preserving Disjoint Support Property
41
49
EN
Noha
Eftekhari
0000-0002-8159-1652
Department of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.
eftekharinoha@yahoo.com
Ali
Bayati Eshkaftaki
Department of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.
bayati.ali@sku.ac.ir
10.22130/scma.2021.115697.690
The aim of this work is to characterize all bounded linear operators $T:lpirightarrowlpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $lpi$ are in the class of such operators, where $2neq pin [1,infty )$ 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
https://scma.maragheh.ac.ir/article_244939.html
https://scma.maragheh.ac.ir/article_244939_078140515abfaf77ad6892470871daab.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces
51
68
EN
Majid
Zamani
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.
mjdzamani@aut.ac.ir
S. Mansour
Vaezpour
0000-0003-3909-4203
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.
vaez@aut.ac.ir
Erfan
Salavati
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.
erfan.salavati@aut.ac.ir
10.22130/scma.2021.520720.884
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
https://scma.maragheh.ac.ir/article_244940.html
https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Bicomplex Frames
69
89
EN
Aiad
Elgourari
0000-0002-3050-3106
Lab. P.D.E., Algebra and Spectral Geometry, Department of mathematics, Faculty of sciences, P.O.Box 133, Ibn Tofail University in Kenitra; Morocco.
aiadelgourari@gmail.com
Allal
Ghanmi
0000000307645576
Analysis, P.D.G $\&$ Spectral Geometry. Lab. M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco.
allalghanmi@um5.ac.ma
Mohammed
Souid El Ainin
000000025835283x
Faculty of Law, Economics and Social Sciences, Ibn Zohr University, Agadir, Morocco.
msouidelainin@yahoo.fr
10.22130/scma.2021.140216.875
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
https://scma.maragheh.ac.ir/article_244941.html
https://scma.maragheh.ac.ir/article_244941_12e27b6ba8b0f892ded6d40c0202430a.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$
91
107
EN
Hatim
Labrigui
0000-0001-8807-487X
Department of Mathematics, Faculty of Science, University of Ibn Tofail, B.P. 133, Kenitra, Morocco.
hlabrigui75@gmail.com
Samir
Kabbaj
0000000197179366
Department of Mathematics, Faculty of Science, University of Ibn Tofail, B.P. 133, Kenitra, Morocco.
samkabbaj@yahoo.fr
10.22130/scma.2021.140176.874
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
https://scma.maragheh.ac.ir/article_245093.html
https://scma.maragheh.ac.ir/article_245093_328f82d1d9d00776e4eca7e437e23d98.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra
109
131
EN
Ahmed
El-Sayed
https://orcid.org/00
Department of mathematics, Alexandria University, Alexandria, Egypt.
amasayed@alexu.edu.eg
Hind
Hashem
Department of mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452 , Saudi Arabia.
3922@qu.edu.sa
Shorouk
Al-Issa
0000-0002-1488-0817
Department of mathematics, Lebanese International University, Lebanon, Saida.
shorouk.alissa@liu.edu.lb
10.22130/scma.2021.120867.876
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
https://scma.maragheh.ac.ir/article_245096.html
https://scma.maragheh.ac.ir/article_245096_18eedb65927f53de7073ff3350f15538.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
18
3
2021
08
01
Woven g-Fusion Frames in Hilbert Spaces
133
151
EN
Maryam
Mohammadrezaee
Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.
dr.rezaee.bst@gmail.com
Mehdi
Rashidi-Kouchi
Department of Mathematics, Ghaderabad Center, Islamic Azad University, Ghaderabad, Iran.
rashidimehdi20@gmail.com
Akbar
Nazari
Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
nazari@mail.uk.ac.ir
Ali
Oloomi
0000-0003-4647-364x
Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.
ali_oloomi111@yahoo.com
10.22130/scma.2021.137940.870
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
https://scma.maragheh.ac.ir/article_245656.html
https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdf