2021-10-20T22:30:21Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=5172
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
Coherent Frames
Ataollah
Askari Hemmat
Ahmad
Safapour
Zohreh
Yazdani Fard
Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $\mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of a single element of Hilbert space $\mathcal{H}$ under some unitary representation $\pi$ of $G$ on $\mathcal{H}$. It is interesting that most of important frames are coherent. We investigate canonical dual and combinations of this frames
Coherent frame
Continuous frame
Locally compact group
Unitary representation
2018
08
01
1
11
https://scma.maragheh.ac.ir/article_32195_afa7e7e72abfe740af573ccc4c15cbac.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
On Polar Cones and Differentiability in Reflexive Banach Spaces
Ildar
Sadeqi
Sima
Hassankhali
Let $X$ be a Banach space, $C\subset X$ be a closed convex set included in a well-based cone $K$, and also let $\sigma_C$ be the support function which is defined on $C$. In this note, we first study the existence of a bounded base for the cone $K$, then using the obtained results, we find some geometric conditions for the set $C$, so that ${\mathop{\rm int}}(\mathrm{dom} \sigma_C) \neq\emptyset$. The latter is a primary condition for subdifferentiability of the support function $\sigma_C$. Eventually, we study Gateaux differentiability of support function $\sigma_C$ on two sets, the polar cone of $K$ and ${\mathop{\rm int}}(\mathrm{dom} \sigma_C)$.
Recession cone
Polar cone
Bounded base
Support function
Gateaux differentiability
2018
08
01
13
23
https://scma.maragheh.ac.ir/article_32215_2e744dde303f4e6c175af724da107e48.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
Masoomeh
Hezarjaribi
Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $\alpha\Delta$-Meir-Keeler contractive and we establish some results of fixed point for such a mapping in the setting of $c_0$-triangular fuzzy metric space. An example is furnished to demonstrate the validity of these obtained results.
$c_0$-triangular fuzzy metric space
$alphaDelta$-Meir-Keeler contractive
Fixed point
2018
08
01
25
41
https://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
Sanjib
Kumar Datta
Tanmay
Biswas
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
Entire function
Generalized relative order
Generalized relative lower order
Generalized relative type
Generalized relative weak type
2018
08
01
43
63
https://scma.maragheh.ac.ir/article_27953_14efa717fdebe100e756052a42d77176.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
$G$-dual Frames in Hilbert $C^{*}$-module Spaces
Fatemeh
Ghobadzadeh
Abbas
Najati
In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames are given. A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is not satisfied in general Hilbert $C^*$-modules.
Frame
$g$-dual frame
Hilbert $C^{*}$-module
2018
08
01
65
79
https://scma.maragheh.ac.ir/article_32196_3364381d248abfc90aba70ebe0afb964.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces
Sumit
Chandok
Huaping
Huang
Stojan
Radenović
Compared with the previous work, the aim of this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.
Fixed point
Generalized $F$-Suzuki contraction
$b$-metric space
2018
08
01
81
89
https://scma.maragheh.ac.ir/article_31379_085d0dfa121b0af90091cb95f787a50b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras
Fatemeh
Golfarshchi
Ali Asghar
Khalilzadeh
Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $\varphi:A\rightarrow A$ is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then $\varphi$ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on $A$.
$C^{*}$-algebra
Hilbert $C^{*}$-module
Invertibility preserving
Spectral radius preserving
Jordan isomorphism
2018
08
01
91
97
https://scma.maragheh.ac.ir/article_23702_316d0365f3c8803a7c76c12c9e348c05.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
A Coupled Random Fixed Point Result With Application in Polish Spaces
Rashwan Ahmed
Rashwan
Hasanen Abuel-Magd
Hammad
In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.
Coupled random fixed point
$varphi $-contraction
Polish space
Random nonlinear integral equations
2018
08
01
99
113
https://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
The Integrating Factor Method in Banach Spaces
Josefina
Alvarez
Carolina
Espinoza-Villalva
Martha
Guzman-Partida
The so called integrating factor method, used to find solutions of ordinary differential equations of a certain type, is well known. In this article, we extend it to equations with values in a Banach space. Besides being of interest in itself, this extension will give us the opportunity to touch on a few topics that are not usually found in the relevant literature. Our presentation includes various illustrations of our results.
Banach spaces
Cauchy-Riemann integral
Exponential function
2018
08
01
115
132
https://scma.maragheh.ac.ir/article_31559_3d3a29c3ca9569969a1733143533626c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
11
1
Identification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions
Arzu
Akgul
In the present work, the author determines some coefficient bounds for functions in a new class of analytic and bi-univalent functions, which are introduced by using of polylogarithmic functions. The presented results in this paper one the generalization of the recent works of Srivastava et al. [26], Frasin and Aouf [13] and Siregar and Darus [25].
Analytic functions
Univalent functions
Bi-univalent functions
Taylor-Maclaurin series
Koebe function
Starlike and convex functions
Coefficient bounds
Polylogarithm functions
2018
08
01
133
143
https://scma.maragheh.ac.ir/article_31813_4b05488564ecc7fb962eff344c90a60f.pdf