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A system of additive functional equations in complex Banach algebras 复Banach代数中的一个可加函数方程组
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0165
Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari
{"title":"A system of additive functional equations in complex Banach algebras","authors":"Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari","doi":"10.1515/dema-2022-0165","DOIUrl":"https://doi.org/10.1515/dema-2022-0165","url":null,"abstract":"Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x ) left{phantom{rule[-1.25em]{}{0ex}}begin{array}{l}2fleft(x+y)-gleft(x)=g(y), gleft(x+y)-2f(y-x)=4fleft(x)end{array}right. and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f f -hom-ders in Banach algebras.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41579852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Three solutions for discrete anisotropic Kirchhoff-type problems 离散各向异性Kirchhoff型问题的三种解法
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0209
M. Bohner, G. Caristi, Ahmad Ghobadi, S. Heidarkhani
{"title":"Three solutions for discrete anisotropic Kirchhoff-type problems","authors":"M. Bohner, G. Caristi, Ahmad Ghobadi, S. Heidarkhani","doi":"10.1515/dema-2022-0209","DOIUrl":"https://doi.org/10.1515/dema-2022-0209","url":null,"abstract":"Abstract In this article, using critical point theory and variational methods, we investigate the existence of at least three solutions for a class of double eigenvalue discrete anisotropic Kirchhoff-type problems. An example is presented to demonstrate the applicability of our main theoretical findings.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45842083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃 一类阶积分微分方程的半Hyers-Ulam-Rasias稳定性𝓃
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0198
D. Inoan, D. Marian
{"title":"Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃","authors":"D. Inoan, D. Marian","doi":"10.1515/dema-2022-0198","DOIUrl":"https://doi.org/10.1515/dema-2022-0198","url":null,"abstract":"Abstract The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel. This kind of stability extends the original Hyers-Ulam stability whose study originated in 1940. A general integral equation is formulated first, and then some particular cases (polynomial function and exponential function) for the function from the kernel are considered.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43534986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination Fekete-Szegö一类与拟从属相关的非巴齐勒维奇函数的泛函
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0232
S. Shah, S. Al-Sa'di, S. Hussain, Asifa Tasleem, A. Rasheed, I. Cheema, M. Darus
{"title":"Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination","authors":"S. Shah, S. Al-Sa'di, S. Hussain, Asifa Tasleem, A. Rasheed, I. Cheema, M. Darus","doi":"10.1515/dema-2022-0232","DOIUrl":"https://doi.org/10.1515/dema-2022-0232","url":null,"abstract":"Abstract In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination. We derived the coefficient estimates including the classical Fekete-Szegö inequality for functions belonging to this class. We also improved some existing results.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46121942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn 在Reinhardt域上定义的一类生物全纯映射的齐次展开式的一些结果
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0242
Xiaoying Sima, Z. Tu, L. Xiong
{"title":"Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn","authors":"Xiaoying Sima, Z. Tu, L. Xiong","doi":"10.1515/dema-2022-0242","DOIUrl":"https://doi.org/10.1515/dema-2022-0242","url":null,"abstract":"Abstract Let S γ , A , B ∗ ( D ) {S}_{gamma ,A,B}^{ast }left({mathbb{D}}) be the usual class of g g -starlike functions of complex order γ gamma in the unit disk D = { ζ ∈ C : ∣ ζ ∣ < 1 } {mathbb{D}}=left{zeta in {mathbb{C}}:| zeta | lt 1right} , where g ( ζ ) = ( 1 + A ζ ) ∕ ( 1 + B ζ ) gleft(zeta )=left(1+Azeta )/left(1+Bzeta ) , with γ ∈ C { 0 } , − 1 ≤ A < B ≤ 1 , ζ ∈ D gamma leftin {mathbb{C}}backslash left{0right}right,-1le Alt Ble 1,zeta in {mathbb{D}} . First, we obtain the bounds of all the coefficients of homogeneous expansions for the functions f ∈ S γ , A , B ∗ ( D ) fin {S}_{gamma ,A,B}^{ast }left({mathbb{D}}) when ζ = 0 zeta =0 is a zero of order k + 1 k+1 of f ( ζ ) − ζ fleft(zeta )-zeta . Second, we generalize this result to several complex variables by considering the corresponding biholomorphic mappings defined in a bounded complete Reinhardt domain. These main theorems unify and extend many known results.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48565347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Solvability for a system of Hadamard-type hybrid fractional differential inclusions Hadamard型混合分数微分包含系统的可解性
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0226
Keyu Zhang, Jiafa Xu
{"title":"Solvability for a system of Hadamard-type hybrid fractional differential inclusions","authors":"Keyu Zhang, Jiafa Xu","doi":"10.1515/dema-2022-0226","DOIUrl":"https://doi.org/10.1515/dema-2022-0226","url":null,"abstract":"Abstract In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, (Existence results for neutral functional differential inclusions in Banach algebras, Nonlinear Anal. 64 (2006), no. 6, 1290–1306, doi: https://doi.org/10.1016/j.na.2005.06.036), the existence results of solutions for the considered problem are derived in a new norm space for multivalued maps. A numerical example is provided to illustrate our main results.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44031533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Normal ordering associated with λ-Stirling numbers in λ-shift algebra λ平移代数中与λ-Stirling数相关的正规序
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0250
Taekyun Kim, Dae San Kim, H. Kim
{"title":"Normal ordering associated with λ-Stirling numbers in λ-shift algebra","authors":"Taekyun Kim, Dae San Kim, H. Kim","doi":"10.1515/dema-2022-0250","DOIUrl":"https://doi.org/10.1515/dema-2022-0250","url":null,"abstract":"Abstract It is known that the Stirling numbers of the second kind are related to normal ordering in the Weyl algebra, while the unsigned Stirling numbers of the first kind are related to normal ordering in the shift algebra. Recently, Kim-Kim introduced a λ lambda -analogue of the unsigned Stirling numbers of the first kind and that of the r r -Stirling numbers of the first kind. In this article, we introduce a λ lambda -analogue of the shift algebra (called λ lambda -shift algebra) and investigate normal ordering in the λ lambda -shift algebra. From the normal ordering in the λ lambda -shift algebra, we derive some identities about the λ lambda -analogue of the unsigned Stirling numbers of the first kind.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47413036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 split generalized equilibrium problem with multiple output sets and common fixed points problem 多输出集分裂广义平衡问题及公共不动点问题
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0251
E. C. Godwin, O. Mewomo, T. O. Alakoya
{"title":"On split generalized equilibrium problem with multiple output sets and common fixed points problem","authors":"E. C. Godwin, O. Mewomo, T. O. Alakoya","doi":"10.1515/dema-2022-0251","DOIUrl":"https://doi.org/10.1515/dema-2022-0251","url":null,"abstract":"Abstract In this article, we introduce and study the notion of split generalized equilibrium problem with multiple output sets (SGEPMOS). We propose a new iterative method that employs viscosity approximation technique for approximating the common solution of the SGEPMOS and common fixed point problem for an infinite family of multivalued demicontractive mappings in real Hilbert spaces. Under mild conditions, we prove a strong convergence theorem for the proposed method. Our method uses self-adaptive step size that does not require prior knowledge of the operator norm. The results presented in this article unify, complement, and extend several existing recent results in the literature.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47645313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation 用Pell-Lucas多项式数值处理非线性分数阶Duffing方程
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0220
A. A. El-Sayed
{"title":"Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation","authors":"A. A. El-Sayed","doi":"10.1515/dema-2022-0220","DOIUrl":"https://doi.org/10.1515/dema-2022-0220","url":null,"abstract":"Abstract The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders. The studied problem will be transformed into a nonlinear system of algebraic equations. The numerical expansion containing unknown coefficients will be obtained numerically via applying Newton’s iteration method to the claimed system. Convergence analysis and error estimates for the introduced process will be discussed. Numerical applications will be given to illustrate the applicability and accuracy of the proposed method.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47765589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The cross-border e-commerce platform selection based on the probabilistic dual hesitant fuzzy generalized dice similarity measures 基于概率对偶犹豫模糊广义骰子相似测度的跨境电商平台选择
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0239
Baoquan Ning, G. Wei
{"title":"The cross-border e-commerce platform selection based on the probabilistic dual hesitant fuzzy generalized dice similarity measures","authors":"Baoquan Ning, G. Wei","doi":"10.1515/dema-2022-0239","DOIUrl":"https://doi.org/10.1515/dema-2022-0239","url":null,"abstract":"Abstract Cross-border e-commerce platform (CBECP) plays a very important role in the development of a cross-border e-commerce (CBEC). How to select the best CBECP scientifically and reasonably is a very critical multi-attribute group decision-making (MAGDM) issue. With the uncertainty of people’s cognition of the objective world, the decision-making process is full of a lot of fuzzy information. In view of the great advantages of probabilistic dual hesitation fuzzy set (FS) in expressing decision-making information, and in combination with the very extensive use of the Dice similarity measure (DSM), a new MAGDM method is proposed for the optimal CBECP selection (CBECPS) under the probabilistic dual hesitation fuzzy (PDHF) environment. First, on the basis of reviewing a large number of documents on the CBECPS for CBEC, the evaluation index system for the CBECPS is constructed; second, several new DSMs are proposed in the PDHF environment; third, based on the two newly proposed probabilistic dual hesitant weighted generalized Dice similarity measures, two novel MAGDM methods are provided for CBECPS, which are used for CBECPS; finally, the two established MAGDM techniques are compared with the existing decision-making methods, and the parameter analysis is carried out to illustrate the effectiveness and superiority of the two established MAGDM techniques. The two established techniques can not only be used for CBECPS of CBEC, but also be extended to similar related research.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43632248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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