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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces 非正曲率度量空间中仿射非扩张映射的平均遍历定理
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0008
H. Khatibzadeh, Hadi Pouladi
{"title":"A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces","authors":"H. Khatibzadeh, Hadi Pouladi","doi":"10.2478/auom-2021-0008","DOIUrl":"https://doi.org/10.2478/auom-2021-0008","url":null,"abstract":"Abstract In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem. The main result shows that the sequence given by the inductive means of iterations of an affine nonexpansive mapping with a nonempty fixed point set converges strongly to a fixed point of the mapping. A Tauberian theorem is also proved in order to ensure convergence of the iterations.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"145 1","pages":"111 - 125"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86218471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coincidence and Common Fixed Point Theorems via ϱ-Class Functions in Elliptic Valued Metric Spaces 椭圆值度量空间中ϱ-Class函数的重合与公共不动点定理
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0011
M. Öztürk, I. A. Kösal, Hidayet Kösal
{"title":"Coincidence and Common Fixed Point Theorems via ϱ-Class Functions in Elliptic Valued Metric Spaces","authors":"M. Öztürk, I. A. Kösal, Hidayet Kösal","doi":"10.2478/auom-2021-0011","DOIUrl":"https://doi.org/10.2478/auom-2021-0011","url":null,"abstract":"Abstract The main goal of this study is to define a new metric space which is a generalization of complex valued metric spaces introduced by Azam et al. [1] using the set of elliptic numbers𝔼p={∈=υ+iω:υ,ω∈ℝ,  i2=p<0},{mathbb{E}_p} = left{ { in = upsilon + iomega :upsilon ,omega in mathbb{R},,,{i^2} = p < 0} right}, and this space is named as an elliptic valued metric space. Some topological properties of this new space are examined. Also, some fixed point results are established in the setting of elliptic valued metric spaces by introducing new classes of mappings which the obtained results are real generalizations of the consequences of several fixed point theorems in the existing literature.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"28 1","pages":"165 - 182"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85842825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Univalence Criteria for some General Integral Operators 一些一般积分算子的一元准则
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0003
C. Bărbatu, D. Breaz
{"title":"Univalence Criteria for some General Integral Operators","authors":"C. Bărbatu, D. Breaz","doi":"10.2478/auom-2021-0003","DOIUrl":"https://doi.org/10.2478/auom-2021-0003","url":null,"abstract":"Abstract The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"24 1","pages":"37 - 52"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75835384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Qualitative results in thermoelasticity of type III for dipolar bodies 偶极体III型热弹性的定性结果
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0009
M. Marin, S. Vlase, A. Öchsner
{"title":"Qualitative results in thermoelasticity of type III for dipolar bodies","authors":"M. Marin, S. Vlase, A. Öchsner","doi":"10.2478/auom-2021-0009","DOIUrl":"https://doi.org/10.2478/auom-2021-0009","url":null,"abstract":"Abstract In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem. In two of these (in the first two theorems) we obtained two results of uniqueness, proved in different ways. Also, we proven two results which show that the solutions of the considered problem depend continuously with respect to the supply terms. We use different procedures in the two theorems on continuous dependence, but we essentially rely on the auxiliary results from Section 3 and Gronwall-type inequalities. It is important to emphasize that all results are obtained by imposing on the basic equations and basic conditions, average constraints that are common in the mechanics of continuous solids.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"60 1","pages":"127 - 142"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84876398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class 给定类中具有选择的多值映射的拓扑横贯性符合理论
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0013
D. O’Regan
{"title":"Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class","authors":"D. O’Regan","doi":"10.2478/auom-2021-0013","DOIUrl":"https://doi.org/10.2478/auom-2021-0013","url":null,"abstract":"Abstract This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"17 1","pages":"201 - 209"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73943245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic orders for a multivariate Pareto distribution 多元Pareto分布的随机阶数
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0004
Luigi-Ionut Catana
{"title":"Stochastic orders for a multivariate Pareto distribution","authors":"Luigi-Ionut Catana","doi":"10.2478/auom-2021-0004","DOIUrl":"https://doi.org/10.2478/auom-2021-0004","url":null,"abstract":"Abstract In this article we give some theoretical results for equivalence between different stochastic orders of some kind multivariate Pareto distribution family. Weak multivariate orders are equivalent or imply different stochastic orders between extremal statistics order of two random variables sequences. The random variables in this article are not neccesary independent.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"57 1","pages":"53 - 69"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83097555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On Quaternion-Gaussian Fibonacci Numbers and Their Properties 四元数-高斯斐波那契数及其性质
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0005
S. Halici, Gamaliel Cerda-Morales
{"title":"On Quaternion-Gaussian Fibonacci Numbers and Their Properties","authors":"S. Halici, Gamaliel Cerda-Morales","doi":"10.2478/auom-2021-0005","DOIUrl":"https://doi.org/10.2478/auom-2021-0005","url":null,"abstract":"Abstract We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients. Using the Binet form we prove fundamental relations between these numbers. Moreover, we investigate whether the quaternions newly defined provide existing some important identities such as Cassini’s identity for quaternions.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"42 1","pages":"71 - 82"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87384619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On some new results for the generalised Lucas sequences 关于广义Lucas序列的一些新结果
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0002
D. Andrica, O. Bagdasar, George C. Ţurcaş
{"title":"On some new results for the generalised Lucas sequences","authors":"D. Andrica, O. Bagdasar, George C. Ţurcaş","doi":"10.2478/auom-2021-0002","DOIUrl":"https://doi.org/10.2478/auom-2021-0002","url":null,"abstract":"Abstract In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits for them (Theorem 6). We formulate necessary and sufficient arithmetic conditions which can identify the terms of a-Fibonacci and a-Lucas sequences. Finally, using a deep theorem of Siegel, we show that the aforementioned sequences contain only finitely many perfect powers. During the process we also discover some novel integer sequences.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"90 1","pages":"17 - 36"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83890984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reducibility in Corsini hypergroups Corsini超群的可约性
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0007
Milica Kankaraš
{"title":"Reducibility in Corsini hypergroups","authors":"Milica Kankaraš","doi":"10.2478/auom-2021-0007","DOIUrl":"https://doi.org/10.2478/auom-2021-0007","url":null,"abstract":"Abstract In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them. The concept of reducibility was introduced by Jantosciak, who noticed that it can happen that hyperproduct does not distinguish between a pair of elements. He defined a certain equivalences in order to identify elements which play the same role with respect to the hyperoperation. First we will determine specific conditions under which the Corsini hypergroups are reduced. Next, we will present some properties of these hypergroups necessary for studying the fuzzy reducibility property. The fuzzy reducibility will be considered with respect to the grade fuzzy set μ̃, used for defining the fuzzy grade of a hypergroup. Finally, we will study the reducibility and the fuzzy reducibility of the direct product of Corsini hypergroups.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"2 1","pages":"93 - 109"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83669822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots 新好奇心二元二次四元多项式及其根
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI: 10.2478/auom-2021-0001
I. Akkus, Gonca Kızılaslan
{"title":"New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots","authors":"I. Akkus, Gonca Kızılaslan","doi":"10.2478/auom-2021-0001","DOIUrl":"https://doi.org/10.2478/auom-2021-0001","url":null,"abstract":"Abstract We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"16 1","pages":"5 - 16"},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73627402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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