Carpathian Journal of Mathematics最新文献

Analysis of interactions between human immune system and a pathogenic virus 人类免疫系统与一种致病病毒相互作用的分析

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/CJM.2023.02.06

G. Moza, L. F. Vesa

引用次数: 1

A Comparative Study between Haploid Genetic Algorithms and Diploid Genetic Algorithms 单倍体遗传算法与二倍体遗传算法的比较研究

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.08

A. Petrovan, Oliviu Matei, P. Pop

{"title":"A Comparative Study between Haploid Genetic Algorithms and Diploid Genetic Algorithms","authors":"A. Petrovan, Oliviu Matei, P. Pop","doi":"10.37193/cjm.2023.02.08","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.08","url":null,"abstract":"In this paper, we make a comprehensive comparison in terms of the quality of the achieved solutions, the corresponding execution time and impact of the genetic operators on the quality of the results between the Haploid Genetic Algorithms (HGAs) and Diploid Genetic Algorithms (DGAs). The standard genetic algorithms, referred to in our paper as HGAs are characterized by the fact that they are using a haploid representation relating an individual with a chromosome, while the DGAs are using diploid individuals which are made of two chromosomes corresponding to the dominant and recessive genes. Even though the general opinion is that DGAs do not provide much benefit as compared to classical GAs, based on extensive computational experiments, we do show that the DGAs are robust, have a high degree of consistency and perform better, sometimes almost twice as well, than the HGAs, but are slower due to the high number of operations to be performed, caused by the duplication of the genetic information. However, the quality of the solutions achieved by the DGAs compensate their relative high execution time. The better quality of the DGAs, proving the efficiency of using diploid genes, is given by the homogeneity of the population which covers the search space thoroughly and in this way being capable of avoiding the local optima.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42039426","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

On the solution of the generalized functional equation arising in mathematical psychology and theory of learning approached by the Banach fixed point theorem 用巴拿赫不动点定理探讨数学心理学和学习理论中出现的广义泛函方程的解

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.14

引用次数: 0

A note on the generators of the polynomial algebra of six variables and application 六变量多项式代数的生成方法及其应用

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.13

Nguyen Khac Tin

{"title":"A note on the generators of the polynomial algebra of six variables and application","authors":"Nguyen Khac Tin","doi":"10.37193/cjm.2023.02.13","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.13","url":null,"abstract":"\"Let $mathcal P_{n}:=H^{*}((mathbb{R}P^{infty})^{n}) cong mathbb Z_2[x_{1},x_{2},ldots,x_{n}]$ be the graded polynomial algebra over $mathcal K,$ where $mathcal K$ denotes the prime field of two elements. We investigate the Peterson hit problem for the polynomial algebra $mathcal P_{n},$ viewed as a graded left module over the mod-$2$ Steenrod algebra, $mathcal{A}.$ For $n>4,$ this problem is still unsolved, even in the case of $n=5$ with the help of computers. In this paper, we study the hit problem for the case $n=6$ in degree $d_{k}=6(2^{k} -1)+9.2^{k},$ with $k$ an arbitrary non-negative integer. By considering $mathcal K$ as a trivial $mathcal A$-module, then the hit problem is equivalent to the problem of finding a basis of $mathcal K$-graded vector space $mathcal K {otimes}_{mathcal{A}}mathcal P_{n}.$ The main goal of the current paper is to explicitly determine an admissible monomial basis of the $mathcal K$-graded vector space $mathcal K{otimes}_{mathcal{A}}mathcal P_6$ in some degrees. At the same time, the behavior of the sixth Singer algebraic transfer in degree $d_{k}=6(2^{k} -1)+9.2^{k}$ is also discussed at the end of this article. Here, the Singer algebraic transfer is a homomorphism from the homology of the mod-$2$ Steenrod algebra, $mbox{Tor}^{mathcal{A}}_{n, n+d}(mathcal K, mathcal K),$ to the subspace of $mathcal Kotimes_{mathcal{A}}mathcal P_{n}$ consisting of all the $GL_n$-invariant classes of degree $d.$\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43544306","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

Aggregation Function Constructed from Copula Copula构造的聚合函数

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.04

Varayut Boonyasri, S. Tasena

引用次数: 0

On the transfer of convergence between two sequences in Banach spaces Banach空间中两个序列收敛性的转移

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.05

D. Marinescu, Eugen Păltănea

引用次数: 0

Levitin-Polyak Well-Posedness for Parametric Set Optimization Problem 参数集优化问题的Levitin-Polyak适定性

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.12

Biswajit Tahu, M. Dhingra, Shylendra Kumar

引用次数: 0

On approximating fixed points of weak enriched contraction mappings via Kirk's iterative algorithm in Banach spaces Banach空间中用Kirk迭代算法逼近弱富集收缩映射的不动点

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.07

Woraphak Nithiarayaphaks, W. Sintunavarat

{"title":"On approximating fixed points of weak enriched contraction mappings via Kirk's iterative algorithm in Banach spaces","authors":"Woraphak Nithiarayaphaks, W. Sintunavarat","doi":"10.37193/cjm.2023.02.07","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.07","url":null,"abstract":"Recently Berinde and Păcurar [Approximating fixed points of enriched contractions in Banach spaces. {em J. Fixed Point Theory Appl.} {bf 22} (2020), no. 2., 1--10], first introduced the idea of enriched contraction mappings and proved the existence of a fixed point of an enriched contraction mapping using the well-known fact that any fixed point of {the averaged mapping $T_lambda$, where $lambdain (0,1]$, is also a fixed point of the initial mapping $T$}. In this work, we introduce the idea of weak enriched contraction mappings, and a new generalization of an averaged mapping called double averaged mapping. The first attempt is to prove the existence and uniqueness of the fixed point of a double averaged mapping associated with a weak enriched contraction mapping. Based on this result on Banach spaces, we give some sufficient conditions for the equality of all fixed points of a double averaged mapping and the set {of all fixed points of a weak enriched contraction mapping.} Moreover, our results show that an appropriate Kirk's iterative algorithm can be used to approximate a fixed point of a weak enriched contraction mapping. An illustrative example for showing the efficiency of our results is given.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43089038","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

Convergence theorem for an intermixed iteration in $p$-uniformly convex metric space $p$-一致凸度量空间中混合迭代的收敛性定理

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.09

Kanyanee Saechou, A. Kangtunyakarn

引用次数: 0

Duffing equations with two-component Poisson stable coefficients 双组分泊松稳定系数Duffing方程

IF 1.4 4区数学

Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.01

M. Akhmet, M. Tleubergenova, Akylbek Zhamanshin

引用次数: 1