University of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces1223673610.22130/scma.2018.79219.369ENGagula Naveen VenkataKishoreDepartment of Mathematics, Sagi Rama Krishnam Raju Engineering College, Bhimavaram, West Godavari - 534 204, Andhra Pradesh, India.BagathiSrinuvasa RaoDepartment of Mathematics, Dr.B.R.Ambedkar University,
Srikakulam, Etcherla - 532410, Andhra Pradesh, India.StojanRadenovicDepartment Faculty of Mechanical Engineering, University of Belgrade, Belgrade.HuapingHuangSchool of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China.Journal Article20180111In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we give an illustration which presents the applicability of the achieved results.https://scma.maragheh.ac.ir/article_36736_fbfe38e6a22e951ebac3fb2ca33e74ce.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101A Version of Favard's Inequality for the Sugeno Integral23373811910.22130/scma.2020.119368.728ENBayazDarabyDepartment of Mathematics, University of Maragheh, Maragheh, Iran.0000-0001-6872-8661HassanGhazanfary AsllPh.D. student of Department of Mathematics, Sahand University of Technology, Tabriz, Iran.IldarISadeqiDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.0000-0001-5336-6186Journal Article20191230In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,\Sigma,\mu)$, where $\mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.https://scma.maragheh.ac.ir/article_38119_b1a064e55b58dec94960732d5d3f9580.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101Continuous $k$-Fusion Frames in Hilbert Spaces39553673710.22130/scma.2018.83792.418ENVahidSadriDepartment of Mathematics, Shabestar Branch, Islamic Azad University Shabestar, Iran.RezaAhmadiInstitute of Fundamental Sciences, University of Tabriz, Tabriz, Iran.MohammadJafarizadehFaculty of Physic, University of Tabriz,
Tabriz, Iran.SusanNamiFaculty of Physic, University of Tabriz,
Tabriz, Iran.Journal Article20180404The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames which is important for frame applications, have been specified completely for the continuous frames. After improving and extending the concept of fusion frames and continuous frames, in this paper we introduce continuous $k$-fusion frames in Hilbert spaces. Similarly to the c-fusion frames, dual of continuous $k$-fusion frames may not be defined, we however define the $Q$-dual of continuous $k$-fusion frames. Also some new results and the perturbation of continuous $k$-fusion frames will be presented.https://scma.maragheh.ac.ir/article_36737_a6aac01ee6eb4120da4aa486e0c329f2.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $\alpha $-admissible57673696910.22130/scma.2018.83065.407ENVatanKarakayaDepartment of Mathematical Engineering, Yildiz Technical
University, Davutpasa Campus, Esenler, 34210 Istanbul, Turkey.NecipŞimşekDepartment of Mathematics, Istanbul Commerce University, Sutluce Campus, Beyoglu, 34445 Istanbul, Turkey.DeryaSekmanDepartment of Mathematics, Ahi Evran University, Bagbasi
Campus, 40100 Kirsehir, Turkey.Journal Article20180314The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the other important classes. Along with that, α-admissible mapping is a different approach in the fixed point theory. According to this method, a single or multivalued mapping does not have a fixed point in general. But, under some restriction on the mapping, a fixed point can be obtained. In this article, we combine four significant notions and also establish fixed point theorem for this mappings in complete metric spaces. Moreover, we give an example to show the interesting of our results according to earlier results in literature.https://scma.maragheh.ac.ir/article_36969_a917fca5c901c82ea8ccd8dc06c0fc64.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$\beta$-Banach Spaces69903719110.22130/scma.2018.87694.451ENProndanaiKaskasemDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.0000-0003-4517-5106AekarachJanchadaDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.ChakkridKlin-eamDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand and Research center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, 65000, Thailand.0000-0001-7943-8176Journal Article20180606In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation<br />\[<br /> f\left( \sqrt[3]{ax^3 + by^3}\right)=af(x) + bf(y),<br />\]<br /> where $a,b \in \mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$\beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in $(\beta,p)$-Banach spaces.https://scma.maragheh.ac.ir/article_37191_17fbaf21d3cb91211779fc3cc33971f0.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101A Common Fixed Point Theorem Using an Iterative Method91983737010.22130/scma.2019.71435.281ENAliBagheri VakilabadDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran.Journal Article20170906Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C \rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence $\{\alpha_{n}\}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={\alpha}_{n}{x}_{n}+(1-{\alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a common fixed point for these non-self and non-expansive mappings.https://scma.maragheh.ac.ir/article_37370_e9337f670d410e4fac3017fecc1697be.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101About One Sweep Algorithm for Solving Linear-Quadratic Optimization Problem with Unseparated Two-Point Boundary Conditions991073783310.22130/scma.2019.107161.605ENFikretA. AlievInstitute of Applied Mathematics, BSU, Baku, Azerbaijan.MutallimM. MutallimovInstitute of Applied Mathematics, BSU, Baku, Azerbaijan.0000-0001-8353-9295IlkinA. MaharramovInstitute of Applied Mathematics, BSU, Baku, Azerbaijan.NargizSh. HuseynovaInstitute of Applied Mathematics, BSU, Baku, Azerbaijan.LeylaI. AmirovaInstitute of Applied Mathematics, BSU, Baku, Azerbaijan.Journal Article20190503In the paper a linear-quadratic optimization problem (LCTOR) with unseparated two-point boundary conditions is considered. To solve this problem is proposed a new sweep algorithm which increases doubles the dimension of the original system. In contrast to the well-known methods, here it refuses to solve linear matrix and nonlinear Riccati equations, since the solution of such multi-point optimization problems encounters serious difficulties in passing through nodal points. The results are illustrated with a specific numerical example.https://scma.maragheh.ac.ir/article_37833_fd95eddce176e507eaf6194b3f90d80e.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces1091243720010.22130/scma.2019.101527.551ENMostafaHassanlooEngineering Faculty of Khoy, Urmia University, Urmia, Iran.Journal Article20190112Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.https://scma.maragheh.ac.ir/article_37200_652feb57a132c49509667af4a6e47afb.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101On Preserving Properties of Linear Maps on $C^{*}$-algebras1251373733610.22130/scma.2019.107553.607ENFatemehGolfarshchiDepartment of Multimedia, Tabriz
Islamic Art University, Tabriz, Iran.Ali AsgharKhalilzadehDepartment of Mathematics, Sahand University of Technology, Sahand Street, Tabriz, Iran.Journal Article20190508Let $A$ and $B$ be two unital $C^{*}$-algebras and $\varphi:A \rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $\varphi$ is unital, $B$ is commutative and $V(\varphi(a)^{*}\varphi(b))\subseteq V(a^{*}b)$ for all $a,b\in A$, then $\varphi$ is a $*$-homomorphism. It is also shown that if $\varphi(|ab|)=|\varphi(a)\varphi(b)|$ for all $a,b\in A$, then $\varphi$ is a unital $*$-homomorphism.https://scma.maragheh.ac.ir/article_37336_5e75596460a797fec56dbf1fd1ff1242.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101An Example of Data Dependence Result for The Class of Almost Contraction Mappings1391553733710.22130/scma.2018.88562.464ENYunusAtalanDepartment of Mathematics, Faculty of Science and Arts, Aksaray University, Aksaray Turkey.VatanKarakayaDepartment of Mathematical Engineering,Y\i ld\i z Technical University, Davutpasa Campus, Esenler, 34210 Istanbul, Turkey.Journal Article20180621In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. Finally, we obtain a data dependence result for almost contraction mappings by using $S^*$ iteration method and in order to show validity of this result we give an example.https://scma.maragheh.ac.ir/article_37337_8f3f54e94e5f34dc200206acb6d4acaa.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101On Sum and Stability of Continuous $G$-Frames1571693734010.22130/scma.2018.90101.472ENAzamYousefzadeheyniDepartment of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.Mohammad RezaAbdollahpourDepartment of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.Journal Article20180717In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $\Lambda=\left\{\Lambda_w \in B\left(H,K_w\right): w\in \Omega\right\}$ and $\Gamma=\left\{\Gamma_w \in B\left(H,K_w\right): w\in \Omega\right\}$ and operators $U$ and $V$ on $H$ such that $\Lambda U+\Gamma V=\{\Lambda_w U+\Gamma_w V \in B\left(H,K_w\right): w\in \Omega\}$ is again a continuous $g$-frame. Moreover, we obtain some sufficient conditions under which the finite sum of continuous $g$-frames are stable under small perturbations.https://scma.maragheh.ac.ir/article_37340_1f228f3e1952fb6620625f91e6a48c39.pdf