Pub Date : 1900-01-01DOI: 10.12988/imf.2022.912303
Zhitao Guo
The aim of this paper is to study the hypercyclicity of the adjoint of weighted composition operators on the vector-valued analytic reproducing kernel Hilbert spaces. Mathematics Subject Classification: 47A16, 47B33
研究了向量值解析再现核希尔伯特空间上加权复合算子伴随的超环性。数学学科分类:47A16、47B33
{"title":"Hypercyclicity of the adjoint of weighted composition operators on the reproducing kernel Hilbert spaces","authors":"Zhitao Guo","doi":"10.12988/imf.2022.912303","DOIUrl":"https://doi.org/10.12988/imf.2022.912303","url":null,"abstract":"The aim of this paper is to study the hypercyclicity of the adjoint of weighted composition operators on the vector-valued analytic reproducing kernel Hilbert spaces. Mathematics Subject Classification: 47A16, 47B33","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"33 10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121183807","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}
A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v. The fractional matching number of G, written α′ ∗(G), is the maximum of ∑ e∈E f(e) over all fractional matchings f . In this paper, we gave the fractional matching number of the join of some graphs, and the corona of some graphs. Mathematics Subject Classification: 05C70 Keyword: integral matching number, fractional matching number, join, corona
{"title":"On the fractional matching number of the join and corona of graphs","authors":"Arcie S. Nogra, M. P. Baldado","doi":"10.12988/imf.2019.9418","DOIUrl":"https://doi.org/10.12988/imf.2019.9418","url":null,"abstract":"A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v. The fractional matching number of G, written α′ ∗(G), is the maximum of ∑ e∈E f(e) over all fractional matchings f . In this paper, we gave the fractional matching number of the join of some graphs, and the corona of some graphs. Mathematics Subject Classification: 05C70 Keyword: integral matching number, fractional matching number, join, corona","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123255556","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 : 1900-01-01DOI: 10.12988/imf.2022.912308
F. Suttmeier
In this note a heuristically, unified approach for deriving parabolic and hyperbolic differential equations is presented, intended to be given to study groups in highschool and undergraduate courses. We describe basic steps in modelling movements of foos, where one can imagine foos to be cars or hot-water-bottles.
{"title":"Modelling foo-flow","authors":"F. Suttmeier","doi":"10.12988/imf.2022.912308","DOIUrl":"https://doi.org/10.12988/imf.2022.912308","url":null,"abstract":"In this note a heuristically, unified approach for deriving parabolic and hyperbolic differential equations is presented, intended to be given to study groups in highschool and undergraduate courses. We describe basic steps in modelling movements of foos, where one can imagine foos to be cars or hot-water-bottles.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130467731","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 : 1900-01-01DOI: 10.12988/imf.2021.912298
L.S. Zhang, Z. Ma, J. Xiong
In this paper, a self-adaptive step size iterative algorithm with the inertial terms is introduced to solve the split common fixed point problem for quasi-pseudo contractive mappings in real Hilbert spaces. The iterative scheme presented in this paper is shown to possess strong convergence for the split common fixed point problem of quasi-pseudo contractive mappings although the step sizes of the iterative scheme do not involve in the priori information of operator norms. As applications, our results are utilized to study the split equilibrium problem and the split null point problem in Hilbert spaces. Furthermore, a numerical example is presented to illustrate the effectiveness and the implementation of this algorithm. Some previous methods are improved and developed by our results for solving the split common fixed point problem. Mathematics Subject Classifications: 47H09; 47H10; 47J25; 65K15
{"title":"An accelerated viscosity algorithm with self-adaptive step size for split common fixed point problem","authors":"L.S. Zhang, Z. Ma, J. Xiong","doi":"10.12988/imf.2021.912298","DOIUrl":"https://doi.org/10.12988/imf.2021.912298","url":null,"abstract":"In this paper, a self-adaptive step size iterative algorithm with the inertial terms is introduced to solve the split common fixed point problem for quasi-pseudo contractive mappings in real Hilbert spaces. The iterative scheme presented in this paper is shown to possess strong convergence for the split common fixed point problem of quasi-pseudo contractive mappings although the step sizes of the iterative scheme do not involve in the priori information of operator norms. As applications, our results are utilized to study the split equilibrium problem and the split null point problem in Hilbert spaces. Furthermore, a numerical example is presented to illustrate the effectiveness and the implementation of this algorithm. Some previous methods are improved and developed by our results for solving the split common fixed point problem. Mathematics Subject Classifications: 47H09; 47H10; 47J25; 65K15","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134150413","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 : 1900-01-01DOI: 10.12988/imf.2023.912388
Yu Zhang, Tuya Bao, Xinxuan Wang
Conformal mappings are an important object to be investigated in differential geometry. In the paper, the authors mainly construct conformal mappings concerning several rotating surfaces and conclude the proportion of the area element between two surfaces under conformal mapping
{"title":"Construction of conformal mappings between several rotating surfaces","authors":"Yu Zhang, Tuya Bao, Xinxuan Wang","doi":"10.12988/imf.2023.912388","DOIUrl":"https://doi.org/10.12988/imf.2023.912388","url":null,"abstract":"Conformal mappings are an important object to be investigated in differential geometry. In the paper, the authors mainly construct conformal mappings concerning several rotating surfaces and conclude the proportion of the area element between two surfaces under conformal mapping","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133845401","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 : 1900-01-01DOI: 10.12988/imf.2021.912250
H. Manev
It is shown how the strictly determined countable infinite cardinality aleph-null א0 of the countable infinite set of the natural numbers N is used as unit of measurement for determined the cardinality of the different countable infinite sets. This enable to be proved that the cardinality אq of the set of the rational numbers Q is bigger than the cardinality א0 of the set of the natural numbers N. Mathematics Subject Classification: 03Exx, 03E47
{"title":"Mathematical magnitudes","authors":"H. Manev","doi":"10.12988/imf.2021.912250","DOIUrl":"https://doi.org/10.12988/imf.2021.912250","url":null,"abstract":"It is shown how the strictly determined countable infinite cardinality aleph-null א0 of the countable infinite set of the natural numbers N is used as unit of measurement for determined the cardinality of the different countable infinite sets. This enable to be proved that the cardinality אq of the set of the rational numbers Q is bigger than the cardinality א0 of the set of the natural numbers N. Mathematics Subject Classification: 03Exx, 03E47","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121819522","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}
In this paper, we introduce a new class of open sets in a topological space called ii − open sets. We study some properties and several characterizations of this class, also we explain the relation of ii − open sets with many other classes of open sets. Furthermore, we define iw − closed sets and iiw − closed sets and we give some fundamental properties and relations between these classes and other classes such as w − closed and αw − closed sets.
{"title":"ii - open sets in topological spaces","authors":"A. Mohammed, Beyda S. Abdullah","doi":"10.12988/IMF.2019.913","DOIUrl":"https://doi.org/10.12988/IMF.2019.913","url":null,"abstract":"In this paper, we introduce a new class of open sets in a topological space called ii − open sets. We study some properties and several characterizations of this class, also we explain the relation of ii − open sets with many other classes of open sets. Furthermore, we define iw − closed sets and iiw − closed sets and we give some fundamental properties and relations between these classes and other classes such as w − closed and αw − closed sets.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127543802","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}
Shannon introduced error detection and correction codes to address the growing need of efficiency and reliability of code vectors. One of the structures that can generate these codes is a set of ideals of the candidate polynomial ring. Generators of codes of ideals of polynomial rings have not been fully characterized. In this research the generators of codes of the candidate polynomial ring Fn 2 [x]/〈xn − 1〉 have been investigated and characterized using lattices, simplex Hamming codes and isometries. Mathematics Subject Classification: Primary 20K30; Secondary 16P10
{"title":"On the generators of codes of ideals of the polynomial ring F_2^N [X] / (X^N-1) for error control","authors":"Olege. Fanuel","doi":"10.12988/imf.2019.9732","DOIUrl":"https://doi.org/10.12988/imf.2019.9732","url":null,"abstract":"Shannon introduced error detection and correction codes to address the growing need of efficiency and reliability of code vectors. One of the structures that can generate these codes is a set of ideals of the candidate polynomial ring. Generators of codes of ideals of polynomial rings have not been fully characterized. In this research the generators of codes of the candidate polynomial ring Fn 2 [x]/〈xn − 1〉 have been investigated and characterized using lattices, simplex Hamming codes and isometries. Mathematics Subject Classification: Primary 20K30; Secondary 16P10","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126190460","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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