University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Use of the Shearlet Transform and Transfer Learning in Offline Handwritten Signature Verification and Recognition1313839510.22130/scma.2019.99098.536ENAtefehForoozandehDepartment of Applied Mathematics, Faculty of Sciences and Modern Technology, Graduate University of Advanced Technology, Kerman, Iran.AtaollahAskari HemmatDepartment of Applied Mathematics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
Kerman, Iran.Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran.HosseinRabbaniDepartment of Biomedical Engineering, School of Advanced Technologies in Medicine,
Isfahan University of Medical Sciences, Isfahan, Iran.Medical Image and Signal Processing Research Center, Isfahan University of Medical Sciences, Isfahan, Iran.Journal Article20181219Despite the growing growth of technology, handwritten signature has been selected as the first option between biometrics by users. In this paper, a new methodology for offline handwritten signature verification and recognition based on the Shearlet transform and transfer learning is proposed. Since, a large percentage of handwritten signatures are composed of curves and the performance of a signature verification/recognition system is directly related to the edge structures, subbands of shearlet transform of signature images are good candidates for input information to the system. Furthermore, by using transfer learning of some pre-trained models, appropriate features would be extracted. In this study, four pre-trained models have been used: SigNet and SigNet-F (trained on offline signature datasets), VGG16 and VGG19 (trained on ImageNet dataset). Experiments have been conducted using three datasets: UTSig, FUM-PHSD and MCYT-75. Obtained experimental results, in comparison with the literature, verify the effectiveness of the presented method in both signature verification and signature recognition.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces33703995210.22130/scma.2020.114523.680ENReyhanehBagheriDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Arak, Iran.DavoodAlimohammadiDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Arak, Iran.Journal Article20190919In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Strong Convergence of the Iterations of Quasi $phi$-nonexpansive Mappings and its Applications in Banach Spaces71803905210.22130/scma.2019.115400.687ENRasoulJahedDepartment of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.HamidVaeziDepartment of Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.HosseinPiriDepartment of Mathematics, University of Bonab, Bonab, Iran.0000-0003-4220-8697Journal Article20191007In this paper, we study the iterations of quasi $phi$-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi $phi$-nonexpansive mappings. Then, we give applications of our main results in equilibrium problems.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Uniform Convergence to a Left Invariance on Weakly Compact Subsets81914052910.22130/scma.2019.100548.540ENAliGhaffariDepartment of Mathematics, Faculty of Science, University of Semnan, P.O.Box 35195-363, Semnan, Iran.SamanehJavadiFaculty of Engineering- East Guilan, University of Guilan, P. O. Box 44891-63157, Rudsar, Iran.EbrahimTamimiDepartment of Mathematics, Faculty of Science, University of Semnan, P.O.Box 35195-363, Semnan, Iran.Journal Article20181229Let $left{a_alpharight}_{alphain I}$ be a bounded net in a Banach algebra $A$ and $varphi$ a nonzero multiplicative linear functional on $A$. In this paper, we deal with the problem of when $|aa_alpha-varphi(a)a_alpha|to0$ uniformly for all $a$ in weakly compact subsets of $A$. We show that Banach algebras associated to locally compact groups such as Segal algebras and $L^1$-algebras are responsive to this concept. It is also shown that $Wap(A)$ has a left invariant $varphi$-mean if and only if there exists a bounded net $left{a_alpharight}_{alphain I}$ in $left{ain A; varphi(a)=1right}$ such that $|aa_alpha-varphi(a)a_alpha|_{Wap(A)}to0$ uniformly for all $a$ in weakly compact subsets of $A$. Other results in this direction are also obtained.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group931064053110.22130/scma.2019.106144.592ENAtefeRazghandiDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O.Box 397, Sabzevar, Iran.Ali AkbarArefijamaalDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O.Box 397, Sabzevar, Iran.0000-0003-2153-352XJournal Article20190412In this paper we consider (extended) metaplectic representation of the semidirect product $G_{mathbb{J}}=mathbb{R}^{2d}timesmathbb{J}$ where $mathbb{J}$ is a closed subgroup of $Sp(d,mathbb{R})$, the symplectic group. We will investigate continuous representation frame on $G_{mathbb{J}}$. We also discuss the existence of duals for such frames and give several characterization for them. Finally, we rewrite the dual conditions, by using the Wigner distribution and obtain more reconstruction formulas.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701About Subspace-Frequently Hypercyclic Operators1071164332310.22130/scma.2020.117046.707ENMansoorehMoosapoorAssistant Professor, Department of Mathematics, Farhangian University, Tehran, Iran.MohammadShahriariDepartment of Mathematics, Faculty of Science, University of Maragheh, P.O. Box55181-83111, Maragheh, Iran.Journal Article20191110In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-hypercyclicity criterion that implies subspace-frequent hypercyclicity and if an operator $T$ satisfies this criterion, then $Toplus T$ is subspace-frequently hypercyclic. Additionally, operators on finite spaces can not be subspace-frequently hypercyclic.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences1171304057910.22130/scma.2019.111716.644ENSinanErcanDepartment of Mathematics, Faculty of Science, Firat University, 23119, Elazig, Turkey.0000-0001-9871-2142Journal Article20190721The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of the space $fleft( lambda _{r}right) $. Finally, we give the characterization of some matrix classes.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Almost Multi-Cubic Mappings and a Fixed Point Application1311434058110.22130/scma.2019.113393.665ENNasrinEbrahimi HoseinzadehDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.AbasaltBodaghiDepartment of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran.0000-0003-0358-4518Mohammad RezaMardanbeigiDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.0000-0001-8665-511XJournal Article20190825The aim of this paper is to introduce $n$-variables mappings which are cubic in each variable and to apply a fixed point theorem for the Hyers-Ulam stability of such mapping in non-Archimedean normed spaces. Moreover, a few corollaries corresponding to some known stability and hyperstability outcomes are presented.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Continuous $ k $-Frames and their Dual in Hilbert Spaces1451604058310.22130/scma.2019.115719.691ENGholamrezaRahimlouDepartment of Mathematics, Shabestar Branch,Islamic Azad University, Shabestar, Iran.RezaAhmadiInstitute of Fundamental Science, University of Tabriz, Tabriz, Iran.Mohammad AliJafarizadehFaculty of Physic, University of Tabriz, Tabriz, Iran.SusanNamiFaculty of Physic, University of Tabriz, Tabriz, Iran.Journal Article20191014The notion of $k$-frames was recently introduced by Gu avruc ta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a c$k$-frame and prove some new results about it.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701$n$-factorization Property of Bilinear Mappings1611734058410.22130/scma.2019.116000.696ENSedighehBarootkoobDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord, Iran.0000-0003-1489-0975Journal Article20191019In this paper, we define a new concept of factorization for a bounded bilinear mapping $f:Xtimes Yto Z$, depended on a natural number $n$ and a cardinal number $kappa$; which is called $n$-factorization property of level $kappa$. Then we study the relation between $n$-factorization property of level $kappa$ for $X^*$ with respect to $f$ and automatically boundedness and $w^*$-$w^*$-continuity and also strong Arens irregularity. These results may help us to prove some previous problems related to strong Arens irregularity more easier than old. These include some results proved by Neufang in ~cite{neu1} and ~cite{neu}. Some applications to certain bilinear mappings on convolution algebras, on a locally compact group, are also included. Finally, some solutions related to the Ghahramani-Lau conjecture is raised.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra1751883742010.22130/scma.2018.77951.362ENHamidehMohammadzadehkanDepartment of Mathematics, Faculty of Science, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.AliEbadianDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.KazemHaghnejad AzarDepartment of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.0000-0002-2591-3362Journal Article20171231In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*left(Sigmaright)= hat{r}left(Sigmaright)$, but for a bounded set of upper triangular matrices with entries in a Banach algebra($Sigma$), $r_*left(Sigmaright)neqhat{r}left(Sigmaright)$. We investigate when the set is defective or not and equivalent properties for having a norm equal to jsr, too.University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems1892173995510.22130/scma.2019.99206.533ENTesfalem HadushMecheDepartment of Mathematics, College of Natural and Computational Sciences, Aksum University, P.O.Box 1020, Aksum, Ethiopia.HabtuZegeyeDepartment of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana.0000 0002 9273 0830Journal Article20181208In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algorithm is proved to be strongly convergent to a common solution of these three problems under mild conditions on parameters. Our results improve and generalize many well-known recent results existing in the literature in this field of research.