Boletim Sociedade Paranaense de Matematica最新文献

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$q$-analogue of a class of harmonic functions 一类调和函数的q -模拟
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52954
Omendra Mishra, S. Porwal
{"title":"$q$-analogue of a class of harmonic functions","authors":"Omendra Mishra, S. Porwal","doi":"10.5269/bspm.52954","DOIUrl":"https://doi.org/10.5269/bspm.52954","url":null,"abstract":"The purpose of the present paper is to introduce a new subclass of harmonic univalent functions associated with a $q$-Ruscheweyh derivative operator. A necessary and sufficient convolution condition for the functions to be in this class is obtained. Using this necessary and sufficient coefficient condition, results based on the extreme points, convexity and compactness for this class are also obtained.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43689149","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
On the weakly nilpotent graph of a commutative semiring 关于交换半环的弱幂零图
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51272
J. Goswami, L. Boro
{"title":"On the weakly nilpotent graph of a commutative semiring","authors":"J. Goswami, L. Boro","doi":"10.5269/bspm.51272","DOIUrl":"https://doi.org/10.5269/bspm.51272","url":null,"abstract":"Let S be a commutative semiring with unity. In this paper, we introduce the weakly nilpotent graph of a commutative semiring. The weakly nilpotent graph of S, denoted by Γw(S) is defined as an undirected simple graph whose vertices are S and two distinct vertices x and y are adjacent if and only if xy 2 N(S), where S= Sn f0g and N(S) is the set of all non-zero nilpotent elements of S. In this paper, we determine the diameter of weakly nilpotent graph of an Artinian semiring. We prove that if w(S) is a forest, then Γw(S) is a union of a star and some isolated vertices. We study the clique number, the chromatic number and the independence number of Γw(S). Among other results, we show that for an Artinian semiring S, Γw(S) is not a disjoint union of cycles or a unicyclic graph. For Artinian semirings, we determine diam(Γw(S)). Finally, we characterize all commutative semirings S for which Γw(S) is a cycle, where w(S) is the complement of the weakly nilpotent graph of S. Finally, we characterize all commutative semirings S for which Γw(S) is a cycle.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45702700","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
Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings 粘性迭代算法]{某些多值映射的可数族的平衡和不动点问题的加速超梯度算法
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52719
H. Abass, O. Mewomo
{"title":"Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings","authors":"H. Abass, O. Mewomo","doi":"10.5269/bspm.52719","DOIUrl":"https://doi.org/10.5269/bspm.52719","url":null,"abstract":"In this paper, we introduce a viscosity-type extragradient algorithm for finding a common point of the solution of a pseudomonotone equilibrium problem and a fixed point problem of an infinite family of multi-valued quasi-nonexpansive mappings in real Hilbert space. Using our algorithm, we state and prove a strong convergence result of our iteration sequences. An application to variational inequality problem was considered. Lastly, we give a numerical example of our main result. The result presented in this paper extends and complements some recent results in literature.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45952323","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 spectral approach in the matrix algebra: trace pseudospectrum 矩阵代数中一种新的谱方法:迹伪谱
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.48313
A. Ammar, A. Jeribi, K. Mahfoudhi
{"title":"A new spectral approach in the matrix algebra: trace pseudospectrum","authors":"A. Ammar, A. Jeribi, K. Mahfoudhi","doi":"10.5269/bspm.48313","DOIUrl":"https://doi.org/10.5269/bspm.48313","url":null,"abstract":"We work with the notion of trace pseudospectra for an element in the matrix algebra. Many new interesting properties of the trace pseudospectrum have been discovered. In addition, we show an analogue of the spectral mapping theorem for trace pseudospectrum in the matrix algebra. Among other things, we illustrated the applicability of this concepts by a considerable number of examples.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41652416","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 membership functions via neighborhood systems: application to a rough set decision making 基于邻域系统的一些隶属函数在粗糙集决策中的应用
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51936
A. E. F. El Atik, A. Zedan
{"title":"Some membership functions via neighborhood systems: application to a rough set decision making","authors":"A. E. F. El Atik, A. Zedan","doi":"10.5269/bspm.51936","DOIUrl":"https://doi.org/10.5269/bspm.51936","url":null,"abstract":"The neighborhood structure can represent information or knowledge about relationships between a universe's object. In other words, such elements or objects are somewhat  similar  to that element in an element's neighborhood.  Pawlak presented the idea of rough sets as useful tools for learning computer science and information systems. Neighborhood structures used this principle to be generalized and studied. This paper uses a neighborhood method to solve several rough set theory problems.  By using a neighborhood of objects in the information system and illustrative examples to apply it, we introduce some new definitions of attributes, membership function and accuracy measurement.  A decision making of our method gives an accurate decision and helps with decision correlation to calculate the accuracy of each attribute that builds an approach to decision making.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46299172","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 method for designing involute trajectory timelike ruled surfaces in Minkowski 3-space 闵可夫斯基三维空间中渐开线轨迹类时直纹曲面设计的新方法
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51594
M. Bilici
{"title":"A new method for designing involute trajectory timelike ruled surfaces in Minkowski 3-space","authors":"M. Bilici","doi":"10.5269/bspm.51594","DOIUrl":"https://doi.org/10.5269/bspm.51594","url":null,"abstract":"In this study, we present the new concept of involute trajectory ruled surface in Minkowski 3-space. The involute trajectory timelike ruled surface is a surface generated by the motion of a timelike oriented line X along the spacelike involute curve γ(s) of a given timelike base curve r(s). The main purpose of this article is to present a new perspective on the generation of developable trajectory ruled surfaces in Minkowski 3-space. These surfaces are formed depending on the angle θ between the Darboux vector D and the binormal vector b of the evolute curve r(s). Also, some new results and theorems related to the developability of the involute trajectory timelike ruled surfaces are obtained. Finally, we illustrate these surfaces by presenting one example.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46874577","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
Stochastic stability and impulsive vaccination of multicompartment nonlinear epidemic model with incidence rate 带发病率的多室非线性流行病模型的随机稳定性和脉冲疫苗接种
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51981
Laid Chahrazed
{"title":"Stochastic stability and impulsive vaccination of multicompartment nonlinear epidemic model with incidence rate","authors":"Laid Chahrazed","doi":"10.5269/bspm.51981","DOIUrl":"https://doi.org/10.5269/bspm.51981","url":null,"abstract":"In this work, we consider a multicompartment nonlinear epidemic model with temporary immunity and a saturated incidence rate. N(t) at time t, this population is divide into seven sub-classes. N(t) = S(t) + E(t) + I(t) + I1(t) + I2(t) + I3(t) + Q(t). where S(t),E(t); I(t); I(t); I1(t),I2(t); I3(t) and Q(t) denote the sizes of the population susceptible to disease, exposed, infectious members and quarantine members with the possibility of infection through temporary immunity, respectively.The stability of a disease-free status equilibrium and the existence of endemic equilibrium determined by the ratio called the basic reproductive number. The multicompartment non linear epidemic model with saturated rate has been studied the stochastic stability of the free disease equilibrium under certain conditions, and obtain the conditions of global attractivity of the infection.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45416293","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
Consistency of an Infinite system of third order three-point boundary value problem in the $bv_0$ space by the theory of measure of noncompactness 用非紧测度理论研究$bv_0$空间中三阶三点边值问题的无穷大系统的一致性
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Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.53112
Niraj Sapkota, Rituparna Das, Santonu Savapondit
{"title":"Consistency of an Infinite system of third order three-point boundary value problem in the $bv_0$ space by the theory of measure of noncompactness","authors":"Niraj Sapkota, Rituparna Das, Santonu Savapondit","doi":"10.5269/bspm.53112","DOIUrl":"https://doi.org/10.5269/bspm.53112","url":null,"abstract":"Several authors have examined the solvability conditions for an infinite system of differential equations in different Banach spaces using the concept of measure of noncompactness. In all these studies, they have considered differential equations where the boundary conditions are defined on two points. In this paper, we have studied the solvability conditions for an infinite system of third-order three point boundary value problem in the sequence space of bounded variation $bv_0$ with the help of the theory of measure of noncompactness and have given a suitable example to illustrate the result.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42178142","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 construction for harmonic evolute surfaces of quasi tangent surfaces with quasi frame 具有拟框架的拟切曲面调和渐曲面的一种新构造
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51179
T. Körpınar, Gül Uğur Kaymanlı
{"title":"A new construction for harmonic evolute surfaces of quasi tangent surfaces with quasi frame","authors":"T. Körpınar, Gül Uğur Kaymanlı","doi":"10.5269/bspm.51179","DOIUrl":"https://doi.org/10.5269/bspm.51179","url":null,"abstract":"In this paper, we study a harmonic evolute surface of quasi tangent surface associated with quasi frame. We construct quasi tangent surface with first and second fundamental forms. Moreover, we determine harmonic evolute surface of quasi tangent surface by using these fundamental forms. Finally, we obtain some new results about these new surfaces.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46172605","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 the Seidel and Seidel Laplacian matrices 关于Seidel和Seidel-Laplace矩阵的一个注记
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Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51593
Jalal Askari
{"title":"A note on the Seidel and Seidel Laplacian matrices","authors":"Jalal Askari","doi":"10.5269/bspm.51593","DOIUrl":"https://doi.org/10.5269/bspm.51593","url":null,"abstract":"In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship between the Seidel and Seidel Laplacian matrix in the graph by Zagreb index. In closing, we mention some alternatives to and generalization of the Seidel and Seidel Laplacian matrices. Also, we obtain relation between Seidel and Seidel Laplacian energy, related to all  graphs with order n.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45838291","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
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