University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Generalized multivalued $F$-weak contractions on complete metric spaces11112839ENHossein PiriDepartment of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.Samira RahroviDepartment of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.Journal Article20150409In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces. Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces132112838ENHamidreza MoradiYoung Researchers and Elite Club‎, ‎Mashhad Branch‎, ‎Islamic Azad University‎, ‎Mashhad‎, ‎Iran0000-0002-0233-0455Anahid KamaliDepartment of Mathematics, Khaje Nasir Toosi University of Technology, Tehran, Iran.Balwinder SinghDepartment of Mathematics‎, ‎P‎. ‎M‎. ‎Thevar College‎, ‎Usilampatti‎, ‎Madurai Dt‎, ‎Tamil Nadu‎, ‎IndiaJournal Article20150321In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups234415512ENArash Ghaani FarashahiNumerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Wien, Vienna, Austria.Rajab Ali Kamyabi-GolDepartment of Pure Mathematics, Ferdowsi University of Mashhad,
Center of Excellence in Analysis on Algebraic Structures (CEAAS), P. O. Box 1159-91775, Mashhad, Iran.Journal Article20150309This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism. Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-convolution on $L^1(G_tau)$ and we show that, with respect to each of them, the function space $L^1(G_tau)$ is a Banach algebra. We define $tau$-convolution as a linear combination of the left and right $tau$-convolution and we show that the $tau$-convolution is commutative if and only if $K$ is abelian. We prove that there is a $tau$-involution on $L^1(G_tau)$ such that with respect to the $tau$-involution and $tau$-convolution, $L^1(G_tau)$ is a non-associative Banach $*$-algebra. It is also shown that when $K$ is abelian, the $tau$-involution and $tau$-convolution make $L^1(G_tau)$ into a Jordan Banach $*$-algebra. Finally, we also present the generalized notation of $tau$-convolution for other $L^p$-spaces with $p>1$.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Generalized concept of $J$-basis455915589ENTofig NajafovNakhchivan State University, University campus, AZ7012 Nakhchivan,
Azerbaijan.Journal Article20150521A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the corresponding operators, some properties of the space of coefficients and basicity criterion are considered.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201A note on "Generalized bivariate copulas and their properties"616412852ENVadoud NajjariYoung Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.Asghar RahimiDepartment of Mathematics, University of Maragheh, P.O.Box 55181-
83111, Maragheh, Iran.0000-0003-2095-6811Journal Article20150407In 2004, Rodr'{i}guez-Lallena and '{U}beda-Flores have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In 2006, Dolati and '{U}beda-Flores presented multivariate generalizations of this class. Then in 2011, Kim et al. generalized Rodr'{i}guez-Lallena and '{U}beda-Flores' study to any given copula family. But there are some inaccuracies in the study by Kim et al. We mean to consider the interval for the parameter proposed by Kim et al. and show that it is inaccurate.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Fixed point theorems for $alpha$-contractive mappings657211561ENHojjat AfshariFaculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.Mojtaba SajjadmaneshFaculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.Journal Article20140818In this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201A tensor product approach to the abstract partial fourier transforms over semi-direct product groups738115471ENAli akbar ArefijammalDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.Fahimeh Arabyani NeyshaburiDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.Journal Article20150709In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.University of MaraghehSahand Communications in Mathematical Analysis2322-580702220151201Chaotic dynamics and synchronization of fractional order PMSM system839015532ENVajiheh VafaeiFaculty of Mathematical sciences, University of Tabriz, tabriz, Iran.Hossein KheiriFaculty of Mathematical sciences, University of Tabriz, tabriz, Iran.Mohammad JavidiFaculty of Mathematical sciences, University of Tabriz, tabriz, Iran.Journal Article20150719In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust for controlling the fractional-order PMSM system.