@article {
author = {Askari Hemmat, Ataollah and Safapour, Ahmad and Yazdani Fard, Zohreh},
title = {Coherent Frames},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {1-11},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.68276.261},
abstract = {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},
keywords = {Coherent frame,Continuous frame,Locally compact group,Unitary representation},
url = {http://scma.maragheh.ac.ir/article_32195.html},
eprint = {http://scma.maragheh.ac.ir/article_32195_afa7e7e72abfe740af573ccc4c15cbac.pdf}
}
@article {
author = {Sadeqi, Ildar and Hassankhali, Sima},
title = {On Polar Cones and Differentiability in Reflexive Banach Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {13-23},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.72221.284},
abstract = {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 ${\mathop{\rm int}}(\mathrm{dom} \sigma_C)$.},
keywords = {Recession cone,Polar cone,Bounded base,Support function,Gateaux differentiability},
url = {http://scma.maragheh.ac.ir/article_32215.html},
eprint = {http://scma.maragheh.ac.ir/article_32215_2e744dde303f4e6c175af724da107e48.pdf}
}
@article {
author = {Hezarjaribi, Masoomeh},
title = {Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {25-41},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.60715.215},
abstract = {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.},
keywords = {$c_0$-triangular fuzzy metric space,$\alpha\Delta$-Meir-Keeler contractive,Fixed point},
url = {http://scma.maragheh.ac.ir/article_31436.html},
eprint = {http://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf}
}
@article {
author = {Kumar Datta, Sanjib and Biswas, Tanmay},
title = {On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {43-63},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27953},
abstract = {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.},
keywords = {Entire function,Generalized relative order,Generalized relative lower order,Generalized relative type,Generalized relative weak type},
url = {http://scma.maragheh.ac.ir/article_27953.html},
eprint = {http://scma.maragheh.ac.ir/article_27953_14efa717fdebe100e756052a42d77176.pdf}
}
@article {
author = {Ghobadzadeh, Fatemeh and Najati, Abbas},
title = {$G$-dual Frames in Hilbert $C^{*}$-module Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {65-79},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.74231.310},
abstract = {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.},
keywords = {Frame,$g$-dual frame,Hilbert $C^{*}$-module},
url = {http://scma.maragheh.ac.ir/article_32196.html},
eprint = {http://scma.maragheh.ac.ir/article_32196_3364381d248abfc90aba70ebe0afb964.pdf}
}
@article {
author = {Chandok, Sumit and Huang, Huaping and Radenović, Stojan},
title = {Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {81-89},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.52976.155},
abstract = {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.},
keywords = {Fixed point,Generalized $F$-Suzuki contraction,$b$-metric space},
url = {http://scma.maragheh.ac.ir/article_31379.html},
eprint = {http://scma.maragheh.ac.ir/article_31379_085d0dfa121b0af90091cb95f787a50b.pdf}
}
@article {
author = {Golfarshchi, Fatemeh and Khalilzadeh, Ali Asghar},
title = {Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {91-97},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.23702},
abstract = {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 $A$.},
keywords = {$C^{*}$-algebra,Hilbert $C^{*}$-module,Invertibility preserving,Spectral radius preserving,Jordan isomorphism},
url = {http://scma.maragheh.ac.ir/article_23702.html},
eprint = {http://scma.maragheh.ac.ir/article_23702_316d0365f3c8803a7c76c12c9e348c05.pdf}
}
@article {
author = {Rashwan, Rashwan Ahmed and Hammad, Hasanen Abuel-Magd},
title = {A Coupled Random Fixed Point Result With Application in Polish Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {99-113},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28506},
abstract = {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.},
keywords = {Coupled random fixed point,$varphi $-contraction,Polish space,Random nonlinear integral equations},
url = {http://scma.maragheh.ac.ir/article_28506.html},
eprint = {http://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf}
}
@article {
author = {Alvarez, Josefina and Espinoza-Villalva, Carolina and Guzman-Partida, Martha},
title = {The Integrating Factor Method in Banach Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {115-132},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.63445.240},
abstract = {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.},
keywords = {Banach spaces,Cauchy-Riemann integral,Exponential function},
url = {http://scma.maragheh.ac.ir/article_31559.html},
eprint = {http://scma.maragheh.ac.ir/article_31559_3d3a29c3ca9569969a1733143533626c.pdf}
}
@article {
author = {Akgul, Arzu},
title = {Identification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {11},
number = {1},
pages = {133-143},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.61252.220},
abstract = {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].},
keywords = {Analytic functions,Univalent functions,Bi-univalent functions,Taylor-Maclaurin series,Koebe function,Starlike and convex functions,Coefficient bounds,Polylogarithm functions},
url = {http://scma.maragheh.ac.ir/article_31813.html},
eprint = {http://scma.maragheh.ac.ir/article_31813_4b05488564ecc7fb962eff344c90a60f.pdf}
}