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Carpathian Journal of Mathematics最新文献

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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
{"title":"Levitin-Polyak Well-Posedness for Parametric Set Optimization Problem","authors":"Biswajit Tahu, M. Dhingra, Shylendra Kumar","doi":"10.37193/cjm.2023.02.12","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.12","url":null,"abstract":"The aim of this paper is to introduce two notions of Levitin$-$Polyak (LP in short) well-posedness for a parametric set optimization problem, a pointwise and a global notion. Necessary and sufficient conditions for a parametric set optimization problem to be LP well-posed are given. Characterizations of LP well-posedness for a parametric set optimization problem in terms of upper Hausdorff convergence and Painlev'{e}$-$Kuratowski convergence of sequences of approximate solution sets are also established.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46099154","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
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":null,"pages":null},"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
{"title":"Convergence theorem for an intermixed iteration in $p$-uniformly convex metric space","authors":"Kanyanee Saechou, A. Kangtunyakarn","doi":"10.37193/cjm.2023.02.09","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.09","url":null,"abstract":"In this paper, we first introduce the intermixed algorithm in $p$-uniformly convex metric spaces, and then we prove $Delta$-convergence of the proposed iterative method for finding a common element of the sets of fixed points of finite families of nonexpansive mappings in the framework of complete $p$-uniformly convex metric spaces. Furthermore, we apply our main theorem to prove $Delta$-convergence to solve the minimization problems in the framework of complete $p$-uniformly convex metric spaces. Finally, we give two examples in $L^p$ spaces and numerical examples to support our main results.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41477709","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
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
{"title":"Duffing equations with two-component Poisson stable coefficients","authors":"M. Akhmet, M. Tleubergenova, Akylbek Zhamanshin","doi":"10.37193/cjm.2023.02.01","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.01","url":null,"abstract":"The research considers Duffing equations with two-component Poisson stable coefficients and excitation. The existence and uniqueness of the Poisson stable solutions have been proved. A new technique for verification of the stability is developed. Numerical simulations of the coefficients, excitation as well as solution are provided.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48114388","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
Approximating $G$-variational inequality problem by $G$-subgradient extragradient method in Hilbert space endowed with graphs 在具有图的Hilbert空间中，用$G$-次梯度法逼近$G$-变分不等式问题
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-12-21 DOI: 10.37193/cjm.2023.02.02
Autcha Araveeporn, Araya Kheawborisut, A. Kangtunyakarn
{"title":"Approximating $G$-variational inequality problem by $G$-subgradient extragradient method in Hilbert space endowed with graphs","authors":"Autcha Araveeporn, Araya Kheawborisut, A. Kangtunyakarn","doi":"10.37193/cjm.2023.02.02","DOIUrl":"https://doi.org/10.37193/cjm.2023.02.02","url":null,"abstract":"In this article, we introduce $G$-subgradient extragradient method for solving the $G$- variational inequality problem in Hilbert space endowed with a direct graph. Utilizing our mathematical tools, weak and strong convergence theorem are established for the proposed algorithm. In addition, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43581473","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
Fixed points and coupled fixed points in $b$-metric spaces via graphical contractions $b$-度量空间中的不动点和耦合不动点的图形压缩
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI: 10.37193/cjm.2023.01.05
Monica-Felicia Bota, L. Guran, G. Petruşel
{"title":"Fixed points and coupled fixed points in $b$-metric spaces via graphical contractions","authors":"Monica-Felicia Bota, L. Guran, G. Petruşel","doi":"10.37193/cjm.2023.01.05","DOIUrl":"https://doi.org/10.37193/cjm.2023.01.05","url":null,"abstract":"\"In this paper some existence and stability results for cyclic graphical contractions in complete metric spaces are given. An application to a coupled fixed point problem is also derived.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41699876","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
Alternated inertial simultaneous and semi-alternating projection algorithms for solving the split equality problem 求解分裂等式问题的交替惯性同时和半交替投影算法
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI: 10.37193/cjm.2023.01.09
Q. Dong, Yu Peng
{"title":"Alternated inertial simultaneous and semi-alternating projection algorithms for solving the split equality problem","authors":"Q. Dong, Yu Peng","doi":"10.37193/cjm.2023.01.09","DOIUrl":"https://doi.org/10.37193/cjm.2023.01.09","url":null,"abstract":"In this paper, we introduce the simultaneous and semi-alternating projection algorithms for solving the split equality problem by using a new choice of the step size and combining the alternated inertial technique. The weak convergence of the proposed algorithms is analyzed under standard conditions. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms by comparing with other methods.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41759704","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
A parallel method for common variational inclusion and common fixed point problems with applications 通用变分包含与通用不动点问题的并行方法及其应用
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI: 10.37193/cjm.2023.01.12
T. Mouktonglang, K. Poochinapan, R. Suparatulatorn
{"title":"A parallel method for common variational inclusion and common fixed point problems with applications","authors":"T. Mouktonglang, K. Poochinapan, R. Suparatulatorn","doi":"10.37193/cjm.2023.01.12","DOIUrl":"https://doi.org/10.37193/cjm.2023.01.12","url":null,"abstract":"In this paper, we construct a new parallel method to solve common variational inclusion and common fixed point problems in a real Hilbert space. We obtain a weak convergence theorem by using this method. Besides, numerical results on the signal recovery problem consisting of various blurred filters present that our proposed method outperforms the two previous methods.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45802608","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
Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type 混合型广义分段常参数拟线性微分方程的不可预测解
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI: 10.37193/cjm.2023.01.18
M. Tleubergenova, Duygu Aruğaslan Çinçin, Zakhira Nugayeva, M. Akhmet
{"title":"Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type","authors":"M. Tleubergenova, Duygu Aruğaslan Çinçin, Zakhira Nugayeva, M. Akhmet","doi":"10.37193/cjm.2023.01.18","DOIUrl":"https://doi.org/10.37193/cjm.2023.01.18","url":null,"abstract":"\"An unpredictable solution is found for a quasilinear differential equation with generalized piecewise constant argument (EPCAG). Sufficient conditions are provided for the existence, uniqueness and exponential stability of the unpredictable solution. The theoretical results are confirmed by examples and illustrated by simulations.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44159277","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
Diophantine triples with distinct binary recurrences 具有不同二元递归的丢番图三元组
IF 1.4 4区 数学
Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI: 10.37193/cjm.2023.01.17
F. Luca, L. Szalay
{"title":"Diophantine triples with distinct binary recurrences","authors":"F. Luca, L. Szalay","doi":"10.37193/cjm.2023.01.17","DOIUrl":"https://doi.org/10.37193/cjm.2023.01.17","url":null,"abstract":"In this paper, we look at Diophantine triples with values in three different binary recurrence sequences. These are the Fibonacci and Pell sequences and the sequence of one more of powers of a given prime $p$. The novelty of the article is the appearance of three different sequences, as up to now the analogous problem had been investigated only for one sequence.","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48131335","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
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