@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 = {https://scma.maragheh.ac.ir/article_32195.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_32215.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_31436.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_27953.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_32196.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_31379.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_23702.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_28506.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_31559.html}, eprint = {https://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 = {https://scma.maragheh.ac.ir/article_31813.html}, eprint = {https://scma.maragheh.ac.ir/article_31813_4b05488564ecc7fb962eff344c90a60f.pdf} }