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Annales Mathematicae Silesianae最新文献

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Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications 强小面体锥和标量加权锥度量空间的结果及其应用
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-08-30 DOI: 10.2478/amsil-2021-0009
A. Tomar, M. Joshi
{"title":"Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications","authors":"A. Tomar, M. Joshi","doi":"10.2478/amsil-2021-0009","DOIUrl":"https://doi.org/10.2478/amsil-2021-0009","url":null,"abstract":"Abstract The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral. Appropriate examples and applications validate the established theory. Further, we provide one more answer to the question of the existence of the contractive condition in Cone metric spaces so that the fixed point is at the point of discontinuity of a map. Also, we provide a negative answer to a natural question of whether the contractive conditions in the obtained results can be replaced by its metric versions.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"302 - 318"},"PeriodicalIF":0.4,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49124772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Law of the Iterated Logarithm for Random Dynamical System with Jumps and State-Dependent Jump Intensity 具有跳跃和状态相关跳跃强度的随机动力系统的迭代对数律
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-08-30 DOI: 10.2478/amsil-2021-0011
J. Kubieniec
{"title":"The Law of the Iterated Logarithm for Random Dynamical System with Jumps and State-Dependent Jump Intensity","authors":"J. Kubieniec","doi":"10.2478/amsil-2021-0011","DOIUrl":"https://doi.org/10.2478/amsil-2021-0011","url":null,"abstract":"Abstract In this paper our considerations are focused on some Markov chain associated with certain piecewise-deterministic Markov process with a statedependent jump intensity for which the exponential ergodicity was obtained in [4]. Using the results from [3] we show that the law of iterated logarithm holds for such a model.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"236 - 249"},"PeriodicalIF":0.4,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43106572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Note on Two Fundamental Recursive Sequences 关于两个基本递归序列的注记
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-07-27 DOI: 10.2478/amsil-2021-0007
Reza Farhadian, R. Jakimczuk
{"title":"A Note on Two Fundamental Recursive Sequences","authors":"Reza Farhadian, R. Jakimczuk","doi":"10.2478/amsil-2021-0007","DOIUrl":"https://doi.org/10.2478/amsil-2021-0007","url":null,"abstract":"Abstract In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc. We establish some general limit formulas, where the product of the first n terms of these sequences appears. Furthermore, we prove some general limits that connect these sequences to the number e(≈ 2:71828:::).","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"172 - 183"},"PeriodicalIF":0.4,"publicationDate":"2021-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41738766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
MHD Equations in a Bounded Domain 有界域上的MHD方程
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-07-27 DOI: 10.2478/amsil-2021-0008
M. Kania
{"title":"MHD Equations in a Bounded Domain","authors":"M. Kania","doi":"10.2478/amsil-2021-0008","DOIUrl":"https://doi.org/10.2478/amsil-2021-0008","url":null,"abstract":"Abstract We consider the MHD system in a bounded domain Ω ⊂ ℝN, N = 2; 3, with Dirichlet boundary conditions. Using Dan Henry’s semigroup approach and Giga–Miyakawa estimates we construct global in time, unique solutions to fractional approximations of the MHD system in the base space (L2(Ω ))N × (L2(Ω ))N. Solutions to MHD system are obtained next as a limits of that fractional approximations.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"211 - 235"},"PeriodicalIF":0.4,"publicationDate":"2021-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48977744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A New Proof and Consequences of the Fixed Point Theorem of Matkowski Matkowski不动点定理的一个新证明及其结果
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-05-26 DOI: 10.2478/amsil-2021-0005
Eugeniusz Barcz
{"title":"A New Proof and Consequences of the Fixed Point Theorem of Matkowski","authors":"Eugeniusz Barcz","doi":"10.2478/amsil-2021-0005","DOIUrl":"https://doi.org/10.2478/amsil-2021-0005","url":null,"abstract":"Abstract In this work it was proved Matkowski’s fixed point theorem. The consequences of this theorem are also presented.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"149 - 157"},"PeriodicalIF":0.4,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46937874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces Hilbert空间中正算子积分变换𝒟-Logarithmic的算子子可加性
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-05-26 DOI: 10.2478/amsil-2021-0004
S. Dragomir
{"title":"Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces","authors":"S. Dragomir","doi":"10.2478/amsil-2021-0004","DOIUrl":"https://doi.org/10.2478/amsil-2021-0004","url":null,"abstract":"Abstract For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),mathcal{D}mathcal{L}ogleft( {w,mu } right)left( T right): = int_0^infty {wleft( lambda right)1{rm{n}}left( {{{lambda + T} over lambda }} right)dmu left( lambda right),} where the integral is assumed to exist for T a positive operator on a complex Hilbert space H. We show among others that, if A, B > 0 with BA + AB ≥ 0, then 𝒟ℒog(w,μ)(A)+𝒟ℒog(w,μ)(B)≥𝒟ℒog(w,μ)(A+B).mathcal{D}mathcal{L}ogleft( {w,mu } right)left( A right) + mathcal{D}mathcal{L}ogleft( {w,mu } right)left( B right) ge mathcal{D}mathcal{L}ogleft( {w,mu } right)left( {A + B} right). In particular we have 16π2+dilog(A+B)≥dilog(A)+dilog(B),{1 over 6}{pi ^2} + {rm{di}}log left( {A + B} right) ge {rm{di}}log left( A right) + {rm{di}}log left( B right), where the dilogarithmic function dilog : [0; ∞) → ℝ is defined by dilog(t):=∫1t1ns1-sds,    t≥0.{rm{di}}log left( t right): = int_1^t {{{1ns} over {1 - s}}ds,} ,,,,t ge 0. Some examples for integral transform 𝒟𝒧og (˙;˙) related to the operator monotone functions are also provided.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"158 - 171"},"PeriodicalIF":0.4,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47889278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sandwich Type Results For m-Convex Real Functions m-凸实函数的三明治型结果
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-05-26 DOI: 10.2478/amsil-2021-0006
Teodoro Lara, E. Rosales
{"title":"Sandwich Type Results For m-Convex Real Functions","authors":"Teodoro Lara, E. Rosales","doi":"10.2478/amsil-2021-0006","DOIUrl":"https://doi.org/10.2478/amsil-2021-0006","url":null,"abstract":"Abstract We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"250 - 259"},"PeriodicalIF":0.4,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46773265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping 结合弱收缩与Caristi收缩映射的不动点定理
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-04-13 DOI: 10.2478/amsil-2021-0003
K. Roy, Sayantan Panja, M. Saha, Z. Mitrović
{"title":"Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping","authors":"K. Roy, Sayantan Panja, M. Saha, Z. Mitrović","doi":"10.2478/amsil-2021-0003","DOIUrl":"https://doi.org/10.2478/amsil-2021-0003","url":null,"abstract":"Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"289 - 301"},"PeriodicalIF":0.4,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45235672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Triality Groups Associated with Triple Systems and their Homotope Algebras 与三重系统相关的三角群及其同伦代数
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-04-13 DOI: 10.2478/amsil-2021-0001
N. Kamiya
{"title":"Triality Groups Associated with Triple Systems and their Homotope Algebras","authors":"N. Kamiya","doi":"10.2478/amsil-2021-0001","DOIUrl":"https://doi.org/10.2478/amsil-2021-0001","url":null,"abstract":"Abstract We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa. Next, as a new concept, we study triality relations (a triality group and a triality derivation) associated with these triple systems; the relations are a generalization of the automorphisms and derivations of the triple systems. Also, we provide examples of several involutive triple systems with a tripotent element.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"184 - 210"},"PeriodicalIF":0.4,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44560164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Alienation of Drygas’ and Cauchy’s Functional Equations Drygas和Cauchy泛函方程的异化
IF 0.4
Annales Mathematicae Silesianae Pub Date : 2021-04-13 DOI: 10.2478/amsil-2021-0002
Y. Aissi, D. Zeglami, B. Fadli
{"title":"Alienation of Drygas’ and Cauchy’s Functional Equations","authors":"Y. Aissi, D. Zeglami, B. Fadli","doi":"10.2478/amsil-2021-0002","DOIUrl":"https://doi.org/10.2478/amsil-2021-0002","url":null,"abstract":"Abstract Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g(y)+g(-y).fleft( {x + y} right) + gleft( {x + y} right)gleft( {x - y} right) = fleft( x right)fleft( y right) + 2gleft( x right) + gleft( y right) + gleft( { - y} right). We also consider an analogous problem for Drygas’ and the additive Cauchy functional equations as well as for Drygas’ and the logarithmic Cauchy functional equations. Interesting consequences of these results are presented.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"35 1","pages":"131 - 148"},"PeriodicalIF":0.4,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41677493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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