University of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Certain Inequalities for a General Class of Analytic and Bi-univalent Functions1133489410.22130/scma.2018.70945.277ENArzuAkgulDepartment of Mathematics, Faculty of Arts and Science, Kocaeli University, Kocaeli, Turkey.Journal Article20170829In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analytic and biunivalent functions studied in the literature. Coclusions are given for all special parameters and the functions. And finally, some relevant classes which are well known before are recognized and connections to previus results are made.https://scma.maragheh.ac.ir/article_34894_80ec7483698ee2dbc4429d51d8c0fa68.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Common Fixed Point in Cone Metric Space for $\mathbf{s}-\mathbf{\varphi}$-contractive15263486110.22130/scma.2018.65773.251ENHamidShojaeiDepartment of Mathematics, Afzale Kermani, Institute of Higher Education,, Kerman, Iran.NedaShojaeiDepartment of Mathematics, Afzale Kermani, Institute of Higher Education, Kerman, Iran.RaziehMortazaeiDepartment of Mathematics, Afzale Kermani Institute of Higher Education, Kerman, Iran.Journal Article20170611Huang and Zhang \cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei \cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.<br />In this paper, the notion of complete cone metric space has been introduced. We have defined $s-\phi$-contractive and obtained common fixed point theorem for a mapping $f,s$ which satisfies $s-\phi$-contractive.https://scma.maragheh.ac.ir/article_34861_6fee3e3433a295e0a5b51cab751a1de8.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Functors Induced by Cauchy Extension of C$^\ast$-algebras27533486010.22130/scma.2018.73698.306ENKouroshNourouziFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.AliRezaFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.Journal Article20171015In this paper, we give three functors $\mathfrak{P}$, $[\cdot]_K$ and $\mathfrak{F}$ on the category of C$^\ast$-algebras. The functor $\mathfrak{P}$ assigns to each C$^\ast$-algebra $\mathcal{A}$ a pre-C$^\ast$-algebra $\mathfrak{P}(\mathcal{A})$ with completion $[\mathcal{A}]_K$. The functor $[\cdot]_K$ assigns to each C$^\ast$-algebra $\mathcal{A}$ the Cauchy extension $[\mathcal{A}]_K$ of $\mathcal{A}$ by a non-unital C$^\ast$-algebra $\mathfrak{F}(\mathcal{A})$. Some properties of these functors are also given. In particular, we show that the functors $[\cdot]_K$ and $\mathfrak{F}$ are exact and the functor $\mathfrak{P}$ is normal exact.https://scma.maragheh.ac.ir/article_34860_c2c1e251586528beca7c7380ec92af0c.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Admissible Vectors of a Covariant Representation of a Dynamical System55613485910.22130/scma.2018.72232.291ENAlirezaBagheri SalecDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Seyyed MohammadTabatabaieDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.JavadSaadatmandanDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Journal Article20170923In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system. In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to a uniform lattice of $G$.https://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401On Periodic Shadowing Property63723485810.22130/scma.2018.69088.270ENAliDarabiDepartment of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University of Ahvaz, P.O. Box 61357-43135, Ahvaz, Iran.Journal Article20170730In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chaotic in the sense of Li-Yorke. Moreover, any distal homeomorphisms on a compact metric space with the periodic shadowing property do not have the asymptotic average shadowing property.https://scma.maragheh.ac.ir/article_34858_a4fd5aa56afc0bc5a20ffba49c31265a.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains73883449010.22130/scma.2018.75275.329ENSarfraz NawazMalikCOMSATS University Islamabad, Wah Campus, Pakistan.0000-0001-8940-0569SidraRiazCOMSATS University Islamabad, Wah Campus, Pakistan.MohsanRazaGovernment College University, Faisalabad, Pakistan.SairaZainabUniversity of Wah, Wah Cantt, Pakistan.0000-0001-6522-1451Journal Article20171111In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied and investigated functional inequality. Our main focus in this article is to investigate the Fekete-Szegö functional for the class of analytic functions associated with hyperbolic regions. To<br />further enhance the worth of our work, we include similar problems for the inverse functions of these discussed analytic functions.https://scma.maragheh.ac.ir/article_34490_b059b4717016c0654fad659818185cc6.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401On the Linear Combinations of Slanted Half-Plane Harmonic Mappings89963448910.22130/scma.2018.72574.293ENAhmadZirehDepartment of Mathematics, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran.Mohammad MehdiShabaniDepartment of Mathematics, Shahrood University of Technology, Shahrood, Iran.Journal Article20170926In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-\gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.https://scma.maragheh.ac.ir/article_34489_14c23d55bb74230f516822884890b8a6.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions971063448810.22130/scma.2018.65402.258ENHossainAlizadeh NazarkandiDepartment of Mathematics,Marand Branch, Islamic azad university, Marand, Iran.Journal Article20170701Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $C\left (X, Y \right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.https://scma.maragheh.ac.ir/article_34488_9c921f0195723c22bf32660b63754739.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401A Class of Hereditarily $\ell_p(c_0)$ Banach spaces1071163448610.22130/scma.2018.63393.239ENSomayehShahrakiDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.AlirezaAhmadi LedariDepartment of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.Journal Article20170504We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $\ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $\ell_p(c_0)$ Banach spaces for $1\leq p<\infty$. Some other properties of this spaces are studied.https://scma.maragheh.ac.ir/article_34486_c7a628098e9007a03b77a6ac583624f8.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Some Observations on Dirac Measure-Preserving Transformations and their Results1171263448510.22130/scma.2018.61771.226ENAzadehAlijaniVali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.ZohrehNazariVali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.Journal Article20170410Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac measure space and its measure algebras are presented. Then all of measure spaces that are isomorphic with a Dirac measure space are characterized and the concept of a Dirac measure class is introduced and its elements are characterized. More precisely, it is shown that every absolutely continuous measure with respect to a Dirac measure belongs to the Dirac measure class. Finally, the relation between Dirac measure preserving transformations and strong-mixing is studied.https://scma.maragheh.ac.ir/article_34485_8c88bf3e36a3286401cca14068f4ff4c.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs1271463448310.22130/scma.2018.67206.260ENAliNakhaei AmroudiDepartment of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.Ali RezaShojaeifardDepartment of Mathematics and Statistics, Imam Hossein Comprehensive University,
Tehran, Iran.0000-0003-1519-8761MojtabaPirhajiDepartment of Mathematics and Statistics, Imam Hossein Comprehensive University,
Tehran, Iran.Journal Article20170709An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and proved. Moreover, we obtain a polynomial time complexity bound which matches the currently best known iteration bound for infeasible interior-point methods.https://scma.maragheh.ac.ir/article_34483_318abecd2c5960bbb1dffc0fb04f4297.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Some Results on Polynomial Numerical Hulls of Perturbed Matrices1471583486810.22130/scma.2018.80849.388ENMadjidKhakshourDepartment of Applied Mathematics, Faculty of New Science and Technology, Graduate University of Advanced Technology of Kerman, Kerman, Iran.GholamrezaAghamollaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.Journal Article20180204In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.https://scma.maragheh.ac.ir/article_34868_8120ae5d784f7ec2e9a9ca542806d1f9.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401On the Structure of Metric-like Spaces1591713489510.22130/scma.2018.74393.316ENAminHosseiniDepartment of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran.AjdaFosnerUniversity of Primorska, Cankarjeva 5, SI-6000 Koper, Slovenia.Journal Article20171031The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points. Furthermore, this paper is an attempt to present compatibility definitions for the distance between a point and a subset of a metric-like space and also for the distance between two subsets of a metric-like space. In this study, we define the diameter of a subset of a metric-like space, and then we provide a definition for bounded subsets of a metric-like space. In line with the aforementioned issues, various examples are provided to better understand this space.https://scma.maragheh.ac.ir/article_34895_b50d85dc44f99ed205ebcea9caa64428.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401A New Model for the Secondary Goal in DEA1731833489310.22130/scma.2018.74414.315ENHarunKinaciErciyes University, Faculty of Economics and Administrative Sciences, Business Department, Kayseri, Turkey.VadoudNajjariYoung Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.Journal Article20171030The purpose of the current paper is to propose a new model for the secondary goal in DEA by introducing secondary objective function. The proposed new model minimizes the average of the absolute deviations of data points from their median. Similar problem is studied in a related model by Liang et al. (2008), which minimizes the average of the absolute deviations of data points from their mean. By using two well known data sets, which are also used by Liang et al.(2008), and Greene (1990) we compare the results of the proposed new model and several other models.https://scma.maragheh.ac.ir/article_34893_18ab438caead64a825e5d7d66eaa3a42.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions1851973291710.22130/scma.2018.85988.457ENMohammadShahriariDepartment of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.RezaAkbariDepartment of Mathematical Sciences, Payame Noor University, Iran.MostafaFallahiDepartment of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.Journal Article20180609In this paper, we study the inverse problem for Dirac differential operators with discontinuity conditions in a compact interval. It is shown that the potential functions can be uniquely determined by the value of the potential on some interval and parts of two sets of eigenvalues. Also, it is shown that the potential function can be uniquely determined by a part of a set of values of eigenfunctions at an interior point and parts of one or two sets of eigenvalues.https://scma.maragheh.ac.ir/article_32917_c162c9b7b3659eb539aff061f231472b.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401A Subclass of Analytic Functions Associated with Hypergeometric Functions1992103448410.22130/scma.2018.72370.290ENSantosh B.JoshiDepartment of Mathematics, Walchand College of Engineering, Sangli 416415, India.Haridas H.PawarDepartment of Mathematics, Sveri's College of Engineering, Pandharpur 413304, India.0000-0001-5300-9787TeodorBulboacaFaculty of Mathematics and Computer Science, Babe\c{s}-Bolyai University, 400084 Cluj-Napoca, Romania.0000-0001-8026-218XJournal Article20170923In the present paper, we have established sufficient conditions for Gaus\-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $\mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.https://scma.maragheh.ac.ir/article_34484_8429722af9a5471af3bde6ec45a15f94.pdf