Pub Date : 2021-05-12DOI: 10.5556/J.TKJM.30.1999.4210
Yin Dongsheng
{"title":"A GENERAL METHOD FOR C ONSTRUCTING REGULAR SUMMATION MATRIX","authors":"Yin Dongsheng","doi":"10.5556/J.TKJM.30.1999.4210","DOIUrl":"https://doi.org/10.5556/J.TKJM.30.1999.4210","url":null,"abstract":"","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88830596","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}
Pub Date : 2021-05-05DOI: 10.5556/J.TKJM.53.2022.3411
Sapna Gahlot, R. Saraswat
There are many fuzzy information and divergence measures exist in the literature of fuzzy Information Theory. Inequalities play important role for finding the relations. Here, we will introduce some new information inequalities on fuzzy measures and their applications in pattern recognition. Also established relations between new and well known fuzzy divergence measures with help of the fuzzy $f$-divergence measure and jensen’s inequality.
{"title":"A New Fuzzy Information Inequalities and its Applications in Establishing Relation among Fuzzy $f$-Divergence Measures","authors":"Sapna Gahlot, R. Saraswat","doi":"10.5556/J.TKJM.53.2022.3411","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3411","url":null,"abstract":"\u0000\u0000\u0000There are many fuzzy information and divergence measures exist in the literature of fuzzy Information Theory. Inequalities play important role for finding the relations. Here, we will introduce some new information inequalities on fuzzy measures and their applications in pattern recognition. Also established relations between new and well known fuzzy divergence measures with help of the fuzzy $f$-divergence measure and jensen’s inequality. \u0000\u0000\u0000","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82695365","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}
Pub Date : 2021-05-01DOI: 10.5556/J.TKJM.30.1999.4229
Longyan Li, S. Cheng
where (Hl) f: (O,oo) -t Rand g: [O,oo) x [O,oo) -t Rare positive functions; and (H2) f is nondecreasing and g is nonincreasing in each of its independent variables. A positive fixed point x* that satisfies x = f(x)g(x, x) is also called a positive equi librium point of equation (1.1). Our objective of this note is to show that under mild conditions on the functions f and g, every real sequence in n tends to one of the positive equilibrium points of (1.1). Similar results have been obtained for a number of recureence relations, see e.g. Kocic and Ladas [1], Camouzis et al. [2], Li et al. [3], and Li [4]. Indeed, this note is motivated by a concern raised in Kocic and Ladas [1, p.46] related to the stability of recurrence relations.
{"title":"GLOBAL ATTRACTIVITY IN A FOUR-TERM RECURRENCE RELATION","authors":"Longyan Li, S. Cheng","doi":"10.5556/J.TKJM.30.1999.4229","DOIUrl":"https://doi.org/10.5556/J.TKJM.30.1999.4229","url":null,"abstract":"where (Hl) f: (O,oo) -t Rand g: [O,oo) x [O,oo) -t Rare positive functions; and (H2) f is nondecreasing and g is nonincreasing in each of its independent variables. A positive fixed point x* that satisfies x = f(x)g(x, x) is also called a positive equi librium point of equation (1.1). Our objective of this note is to show that under mild conditions on the functions f and g, every real sequence in n tends to one of the positive equilibrium points of (1.1). Similar results have been obtained for a number of recureence relations, see e.g. Kocic and Ladas [1], Camouzis et al. [2], Li et al. [3], and Li [4]. Indeed, this note is motivated by a concern raised in Kocic and Ladas [1, p.46] related to the stability of recurrence relations.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76386478","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}
Pub Date : 2021-04-16DOI: 10.5556/J.TKJM.53.2022.3554
A. Ghaffari, S. Javadi, Ebrahim Tamimi
In this paper, we study Connes amenability of l-Munn algebras. We apply this results to semigroup algebras. We show that for a weakly cancellative semigroupS with finite idempotents, amenability and Connes amenability are equivalent.
{"title":"Connes Amenability of $l^1$-Munn Algebras","authors":"A. Ghaffari, S. Javadi, Ebrahim Tamimi","doi":"10.5556/J.TKJM.53.2022.3554","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3554","url":null,"abstract":"In this paper, we study Connes amenability of l-Munn algebras. We apply this results to semigroup algebras. We show that for a weakly cancellative semigroupS with finite idempotents, amenability and Connes amenability are equivalent.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72475070","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}
Pub Date : 2021-04-14DOI: 10.5556/J.TKJM.53.2022.3307
W. Khuangsatung, A. Kangtunyakarn
The purpose of this research is to modify Halpern iteration’s process for finding a common element of the set of solutions of a variational inequality problem and the set of fixed points of a strictly pseudo contractive mapping in q-uniformly smooth Banach space. We also introduce a new technique to prove a strong convergence theorem for a finite family of strictly pseudo contractive mappings in q-uniformly smooth Banach space. Moreover, we give a numerical result to illustrate the main theorem.
{"title":"A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces","authors":"W. Khuangsatung, A. Kangtunyakarn","doi":"10.5556/J.TKJM.53.2022.3307","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3307","url":null,"abstract":"The purpose of this research is to modify Halpern iteration’s process for finding a common element of the set of solutions of a variational inequality problem and the set of fixed points of a strictly pseudo contractive mapping in q-uniformly smooth Banach space. We also introduce a new technique to prove a strong convergence theorem for a finite family of strictly pseudo contractive mappings in q-uniformly smooth Banach space. Moreover, we give a numerical result to illustrate the main theorem.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82494498","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}
Pub Date : 2021-04-13DOI: 10.5556/J.TKJM.53.2022.3729
M. Lone, Mohamd Saleem Lone, M. Shahid
In the present paper, we form a sharp inequality for a doubly warped product submanifold of a Riemannian manifold of nearly quasi-constant curvature.
本文给出了近似准常曲率黎曼流形的双翘曲积子流形的一个尖锐不等式。
{"title":"Doubly Warped Product Submanifolds of a Riemannian Manifold of Nearly Quasi-constant Curvature","authors":"M. Lone, Mohamd Saleem Lone, M. Shahid","doi":"10.5556/J.TKJM.53.2022.3729","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3729","url":null,"abstract":"\u0000\u0000\u0000In the present paper, we form a sharp inequality for a doubly warped product submanifold of a Riemannian manifold of nearly quasi-constant curvature. \u0000\u0000\u0000","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78800898","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}
Pub Date : 2021-04-13DOI: 10.5556/J.TKJM.53.2022.3295
M. Pitchaimani, A. S. Devi
In this article, a mathematical model to study the dynamics of HIV-TB coinfection with two time delays is proposed and analyzed. We compute the basic reproduction number for each disease (HIV and TB) which acts as a threshold parameters. The disease dies out when the basic reproduction number of both diseases are less than unity and persists when the basic reproduction number of atleast one of the disease is greater than unity. A numerical study on the model is also performed to investigate the influence of certain key parameters on the spread of the disease. Mathematical analysis of our model shows that switching co-infection (HIV and TB) to single infection (HIV) can be achieved by imposing treatment for both the disease simultaneously as TB eradication is made possible with effective treatment.
{"title":"Threshold Dynamics of an HIV-TB Co-infection Model with Multiple Time Delays","authors":"M. Pitchaimani, A. S. Devi","doi":"10.5556/J.TKJM.53.2022.3295","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3295","url":null,"abstract":"In this article, a mathematical model to study the dynamics of HIV-TB coinfection with two time delays is proposed and analyzed. We compute the basic reproduction number for each disease (HIV and TB) which acts as a threshold parameters. The disease dies out when the basic reproduction number of both diseases are less than unity and persists when the basic reproduction number of atleast one of the disease is greater than unity. A numerical study on the model is also performed to investigate the influence of certain key parameters on the spread of the disease. Mathematical analysis of our model shows that switching co-infection (HIV and TB) to single infection (HIV) can be achieved by imposing treatment for both the disease simultaneously as TB eradication is made possible with effective treatment.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79109533","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}
Pub Date : 2021-04-11DOI: 10.5556/J.TKJM.53.2022.3893
Argha Ghosh, Samiran Das
We introduce the notions of strongly $lambda$-statistically pre-Cauchy and strongly Vall´ee-Poussin pre-Cauchy sequences in probabilistic metric spaces endowed with strong topology. And we show that these two new notions are equivalent. Strongly $lambda$-statistically convergent sequences are strongly $lambda$-statistically pre-Cauchy sequences, and we give an example to show that there is a sequence in a probabilistic metric space which is strongly $lambda$-statistically pre-Cauchy but not strongly $lambda$-statistically convergent.
{"title":"Strongly $lambda$-Statistically and Strongly Vallée-Poussin Pre-Cauchy Sequences in Probabilistic Metric Spaces","authors":"Argha Ghosh, Samiran Das","doi":"10.5556/J.TKJM.53.2022.3893","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3893","url":null,"abstract":"We introduce the notions of strongly $lambda$-statistically pre-Cauchy and strongly Vall´ee-Poussin pre-Cauchy sequences in probabilistic metric spaces endowed with strong topology. And we show that these two new notions are equivalent. Strongly $lambda$-statistically convergent sequences are strongly $lambda$-statistically pre-Cauchy sequences, and we give an example to show that there is a sequence in a probabilistic metric space which is strongly $lambda$-statistically pre-Cauchy but not strongly $lambda$-statistically convergent.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83321326","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}
Pub Date : 2021-04-08DOI: 10.5556/J.TKJM.53.2022.3296
Farah Balaadich, E. Azroul
We prove an existence result for solutions of nonlinear p-Laplacian systems with data in generalized form: { −divΦ(Du−Θ(u)) = f(x, u,Du) in Ω u = 0 on ∂Ω by the theory of Young measures.
利用杨氏测度理论证明了在∂Ω上的Ω u = 0中数据为广义形式{−divΦ(Du−Θ(u)) = f(x, u,Du)的非线性p-拉普拉斯系统解的存在性。
{"title":"Elliptic Systems of $p$-Laplacian Type","authors":"Farah Balaadich, E. Azroul","doi":"10.5556/J.TKJM.53.2022.3296","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3296","url":null,"abstract":"We prove an existence result for solutions of nonlinear p-Laplacian systems with data in generalized form: { −divΦ(Du−Θ(u)) = f(x, u,Du) in Ω u = 0 on ∂Ω by the theory of Young measures.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79786639","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}
Pub Date : 2021-04-08DOI: 10.5556/J.TKJM.52.2021.3523
L. Volkmann
Let $D$ be a finite and simple digraph with vertex set $V(D)$. A weak signed Roman dominating function (WSRDF) on a digraph $D$ is a function $f:V(D)rightarrow{-1,1,2}$ satisfying the condition that $sum_{xin N^-[v]}f(x)ge 1$ for each $vin V(D)$, where $N^-[v]$ consists of $v$ and allvertices of $D$ from which arcs go into $v$. The weight of a WSRDF $f$ is $sum_{vin V(D)}f(v)$. The weak signed Roman domination number $gamma_{wsR}(D)$ of $D$ is the minimum weight of a WSRDF on $D$. In this paper we initiate the study of the weak signed Roman domination number of digraphs, and we present different bounds on $gamma_{wsR}(D)$. In addition, we determine the weak signed Roman domination number of some classesof digraphs.
{"title":"Weak Signed Roman Domination in Digraphs","authors":"L. Volkmann","doi":"10.5556/J.TKJM.52.2021.3523","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3523","url":null,"abstract":"Let $D$ be a finite and simple digraph with vertex set $V(D)$. A weak signed Roman dominating function (WSRDF) on a digraph $D$ is a function $f:V(D)rightarrow{-1,1,2}$ satisfying the condition that $sum_{xin N^-[v]}f(x)ge 1$ for each $vin V(D)$, where $N^-[v]$ consists of $v$ and allvertices of $D$ from which arcs go into $v$. The weight of a WSRDF $f$ is $sum_{vin V(D)}f(v)$. The weak signed Roman domination number $gamma_{wsR}(D)$ of $D$ is the minimum weight of a WSRDF on $D$. In this paper we initiate the study of the weak signed Roman domination number of digraphs, and we present different bounds on $gamma_{wsR}(D)$. In addition, we determine the weak signed Roman domination number of some classesof digraphs.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78488400","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}
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