Introduction of Frame in Tensor Product of $n$-Hilbert Spaces
Prasenjit
Ghosh
Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India.
author
Tapas
Samanta
Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India.
author
text
article
2021
eng
We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of $n$-Hilbert spaces is studied. Finally,\;the dual frame in tensor product of $n$-Hilbert spaces is discussed.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
1
18
https://scma.maragheh.ac.ir/article_247537_bdabe40608d29f6f8772b3bb95b0c141.pdf
dx.doi.org/10.22130/scma.2021.524252.909
Boundary Value Problems in Thermo Viscoplasticity
Ilyas
Boukaroura
Department of Mathematics, Faculty of Science, Applied Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, Algeria
author
Seddik
Djabi
Department of Mathematics, Faculty of Science, Applied Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, Algeria
author
Samia
Khelladi
Department of Mathematics, Faculty of Science, Fundamental and Numerical Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, Algeria
author
text
article
2021
eng
In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $\theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
19
30
https://scma.maragheh.ac.ir/article_246178_f12cdb82487b0b2d05c87715398f0e46.pdf
dx.doi.org/10.22130/scma.2021.127385.797
Fixed Point Theorems for Fuzzy $(\gamma,\beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces
Muzeyyen Sangurlu
Sezen
Department of Mathematics, Faculty of Science, University of Gazi, 06500, Ankara, Turkey.
author
text
article
2021
eng
In this paper, we introduce new concepts of fuzzy $(\gamma,\beta )$-contraction and prove some fixed point results for fuzzy $(\gamma,\beta )$-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy $(\gamma,\beta )$-weak contraction and establish some new fixed point results for fuzzy $(\gamma,\beta )$-weak contractions. Also, some examples are supplied in order to support the useability of ourresults.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
31
44
https://scma.maragheh.ac.ir/article_246750_471c936e58f313795b77e8f9a8dd6c6c.pdf
dx.doi.org/10.22130/scma.2021.137259.856
$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces
Aysegul
Caksu Guler
Department of Mathematics, Faculty of Science, University of Ege, P.O.Box 35100, Izmir, Turkey.
author
text
article
2021
eng
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $\mathcal{I}$-convergence. In fuzzy cone normed space, $\mathcal{I}$-limit point and $\mathcal{I}$-cluster point were defined and studied.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
45
57
https://scma.maragheh.ac.ir/article_246752_455d61f2b24733fd1b4bda2ec45e0e3b.pdf
dx.doi.org/10.22130/scma.2021.526111.916
Weighted Cebysev Type Inequalities for Double Integrals and Application
Asif
Khan
Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.
author
Hira
Nasir
Department of Mathematics, Federal Urdu University of Arts, Science and Technology , University Road, Karachi-75270 Pakistan.
author
Syed
Shirazi
Department of Basic Sciences, Muhammad Ali Jinnah University, P.E.C.H.S. Main Shahrah-e-Faisal, Karachi-75400, Pakistan.
author
text
article
2021
eng
The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type inequalities in $L_m,\, m\geq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
59
72
https://scma.maragheh.ac.ir/article_246902_0fc782c86d31c4c95914e495db3bd79b.pdf
dx.doi.org/10.22130/scma.2021.129537.815
Investigation of the Boundary Layers of the Singular Perturbation Problem Including the Cauchy-Euler Differential Equation
Alireza
Sarakhsi
Department of Mathematics, Faculty of Science, University of Technical and Vocational, Tabriz, Iran.
author
Siamak
Ashrafi
Department of Mathematics, Maragheh Branch, Islamic Azad University, Maragheh, Iran.
author
text
article
2021
eng
In this paper, for a singular perturbation problem consist of the Cauchy-Euler equation with local and non-local boundary conditions. We investigate the condition of the self-adjoint and the non-self-adjoint, also look for the formation or non-formation of boundary layers for local boundary conditions using the Frequent uniform limit method. Also, for the state of non-local conditions, we convert the non-local boundary conditions into local conditions by finding the fundamental solution and then obtaining the necessary conditions with the help of the 4-step method. Finally, we determine the formation or non-formation of a boundary layer for non-local conditions such as local conditions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
73
96
https://scma.maragheh.ac.ir/article_247538_773739baeb7414761d7e17994d953006.pdf
dx.doi.org/10.22130/scma.2021.534497.962
On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres
Behzad
Esmaeili
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
Firooz
Pashaie
Department of Mathematics, Faculty of Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh,
Iran.
author
Ghorbanali
Haghighatdoost
Department of Mathematics, Azarbaijan Shahid Madani
University, P.O.Box 53714-161, Tabriz, Iran.
author
text
article
2021
eng
In mathematical physics, the stable hypersurfaces of constant mean curvature in pseudo-Euclidian spheres have been interested by many researchers on general relativity. As an extension, the notion of index of stability has been introduced for unstable ones. The stability index (as a rate of distance from being stable) is defined in terms of the Laplace operator $\Delta$ as the trace of Hessian tensor. In this paper, we study an extension of stability index(namely, 1-index) of hypersurfaces with constant scalar curvature in pseudo-Euclidian sphere $\S_1^{n+1}$. 1-index is defined based on the Cheng-Yau operator $\Box$ as a natural extension of $\Delta$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
97
111
https://scma.maragheh.ac.ir/article_248103_e470e8ed71d63e0d14235a8da8e7b331.pdf
dx.doi.org/10.22130/scma.2021.541680.1009
On Approximating Fixed Point in CAT(0) Spaces
Chanchal
Garodia
Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.
author
Izhar
Uddin
Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.
author
text
article
2021
eng
In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $\alpha$-nonexpansive mapping. We prove strong and $\Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, we reconfirm our results by non trivial example and tables.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
113
130
https://scma.maragheh.ac.ir/article_246179_f84b493b05cbca665963a271fd0c19c9.pdf
dx.doi.org/10.22130/scma.2021.141881.880
Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals
Bayaz
Daraby
Department of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran.
author
text
article
2021
eng
In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
18
v.
4
no.
2021
131
153
https://scma.maragheh.ac.ir/article_252991_8a383b08513504f505b39180f5558f3e.pdf
dx.doi.org/10.22130/scma.2022.556032.1132