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Journal of Nonlinear Analysis and Application最新文献

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On size function topology and fixed point theorems 论大小函数拓扑和不动点定理
Journal of Nonlinear Analysis and Application Pub Date : 2017-06-01 DOI: 10.5899/2017/JNAA-00336
M. Robdera
{"title":"On size function topology and fixed point theorems","authors":"M. Robdera","doi":"10.5899/2017/JNAA-00336","DOIUrl":"https://doi.org/10.5899/2017/JNAA-00336","url":null,"abstract":"In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general versions of some of the classical fixed point theorems.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128606708","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}
引用次数: 1
A generalized Jensen type mapping and its applications 广义Jensen类型映射及其应用
Journal of Nonlinear Analysis and Application Pub Date : 2015-02-01 DOI: 10.5899/2015/JNAA-00247
A. Ebadian, Choonkill Park, T. Rassias
{"title":"A generalized Jensen type mapping and its applications","authors":"A. Ebadian, Choonkill Park, T. Rassias","doi":"10.5899/2015/JNAA-00247","DOIUrl":"https://doi.org/10.5899/2015/JNAA-00247","url":null,"abstract":"Let $X$ and $Y$ be vector spaces. It is shown that a mapping $f : X rightarrow Y$ satisfies the functional equation (2d+1) f(frac{sum_{j=1}^{2d+1} (-1)^{j+1} x_j}{2d+1}) = sum_{j=1}^{2d+1} (-1)^{j+1} f(x_j) end{aligned} if and only if the mapping $f : X rightarrow Y$ is additive, and prove the Cauchy-Rassias stability of the functional equation $(0.1)$ in Banach modules over a unital $C^*$-algebra, and in Poisson Banach modules over a unital Poisson $C^*$-algebra. Let $A$ and $B$ be unital $C^*$-algebras, Poisson $C^*$-algebras, Poisson $JC^*$-algebras or Lie $JC^*$-algebras. As an application, we show that every almost homomorphism $h : A rightarrow B$ is a homomorphism when $h((2d+1)^n u y) = h((2d+1)^n u) h(y)$ or $h((2d+1)^n u circ y) = h((2d+1)^n u)circ h(y)$ for all unitaries $u in A$, all $y in A$, and $n = 0, 1, 2, cdots$, and that every almost linear almost multiplicative mapping $h : A rightarrow B$ is a homomorphism when $h((2d+1) x) = (2d+1) h(x)$ for all $x in A$. Moreover, we prove the Cauchy-Rassias stability of homomorphisms in $C^*$-algebras, Poisson $C^*$-algebras, Poisson $JC^*$-algebras or Lie $JC^*$-algebras, and of Lie $JC^*$-algebra derivations in Lie $JC^*$-algebras.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134263301","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}
引用次数: 0
Quadratic $rho$-functional inequalities and equations 二次函数不等式和方程
Journal of Nonlinear Analysis and Application Pub Date : 2014-12-01 DOI: 10.5899/2014/JNAA-00262
Choonkill Park
{"title":"Quadratic $rho$-functional inequalities and equations","authors":"Choonkill Park","doi":"10.5899/2014/JNAA-00262","DOIUrl":"https://doi.org/10.5899/2014/JNAA-00262","url":null,"abstract":"In this paper, we solve the quadratic $rho$-functional inequalities where $rho$ is a fixed complex number with $|rho| where $rho$ is a fixed complex number with $|rho|< frac{1}{2}$. Furthermore, we prove the Hyers-Ulam stability of the quadratic $rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam stability of quadratic $rho$-functional equations associated with the quadratic $rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126084193","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}
引用次数: 0
An upper bound for the equitable chromatic number of complete n-partite graphs 完全n部图的均匀色数的上界
Journal of Nonlinear Analysis and Application Pub Date : 2014-10-12 DOI: 10.5899/2014/JNAA-00090
F. Rahbarnia, M. Moaied
{"title":"An upper bound for the equitable chromatic number of complete n-partite graphs","authors":"F. Rahbarnia, M. Moaied","doi":"10.5899/2014/JNAA-00090","DOIUrl":"https://doi.org/10.5899/2014/JNAA-00090","url":null,"abstract":"A proper vertex coloring of a graph $G$ is equitable if the size of color classes differ by at most one. The equitable chromatic number of $G$ is the smallest integer $m$ such that $G$ is equitable m-colorable. In this paper, we derive an upper bound for the equitable chromatic number of complete n-partite graph $K_{p_{1},p_{2}, ... ,p_{n}}$.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124287497","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}
引用次数: 1
Stabilization and Riesz basis property for an overhead crane model with feedback in velocity and rotating velocity 具有速度和转速反馈的桥式起重机模型的稳定性和Riesz基性质
Journal of Nonlinear Analysis and Application Pub Date : 2014-06-01 DOI: 10.5899/2014/JNAA-00184
T. K. Augustin, Mensah E. Patrice, Taha M. Mathurin
{"title":"Stabilization and Riesz basis property for an overhead crane model with feedback in velocity and rotating velocity","authors":"T. K. Augustin, Mensah E. Patrice, Taha M. Mathurin","doi":"10.5899/2014/JNAA-00184","DOIUrl":"https://doi.org/10.5899/2014/JNAA-00184","url":null,"abstract":"This paper studies a variant of an overhead crane model's problem, with a control force in velocity and rotating velocity on the platform. We obtain under certain conditions the well-posedness and the strong stabilization of the closed-loop system. We then analyze the spectrum of the system. Using a method due to Shkalikov, we prove the existence of a sequence of generalized eigenvectors of the system, which forms a Riesz basis for the state energy Hilbert space.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114485374","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}
引用次数: 3
Impulse control and its application in portfolio and hedging with both fixed and proportional transaction costs 脉冲控制及其在交易成本固定和交易成本成比例的投资组合和对冲中的应用
Journal of Nonlinear Analysis and Application Pub Date : 2014-05-01 DOI: 10.5899/2014/JNAA-00192
A. Delavarkhalafi, M. Karbaschi
{"title":"Impulse control and its application in portfolio and hedging with both fixed and proportional transaction costs","authors":"A. Delavarkhalafi, M. Karbaschi","doi":"10.5899/2014/JNAA-00192","DOIUrl":"https://doi.org/10.5899/2014/JNAA-00192","url":null,"abstract":"In this paper, we will state impulse control and its application in portfolio selection. For this purpose, we first introduce Quasi Variational Inequalities. Introducing impulse control, in stochastic stopping times we have jumps with stochastic size. Then by using approximative Markov chain, the optimal impulse control is obtained in portfolio, including European option. Finally, considering default parameters, the numerical results in optimal impulse control is obtained.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114129988","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}
引用次数: 0
Employing an Implicit function to prove unified common fixed point theorems for expansive type mappings in symmetric spaces 利用隐函数证明对称空间中扩展型映射的统一公共不动点定理
Journal of Nonlinear Analysis and Application Pub Date : 2013-07-01 DOI: 10.5899/2013/JNAA-00132
M. Imdad, M. Hasan, H. Nashine, P. P. Murthy
{"title":"Employing an Implicit function to prove unified common fixed point theorems for expansive type mappings in symmetric spaces","authors":"M. Imdad, M. Hasan, H. Nashine, P. P. Murthy","doi":"10.5899/2013/JNAA-00132","DOIUrl":"https://doi.org/10.5899/2013/JNAA-00132","url":null,"abstract":"The purpose of this paper is to prove some unified general common fixed point theorems employing absorbing property for expansive mappings governed by a relatively improved implicit function in symmetric spaces which generalizes several previously known results due to Ali and Imdad [2], Djoudi [6], Imdad and Khan [15], Pathak and Tiwari [28], Popa [30] and some others. Some related results are also derived besides furnishing illustrative example.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"288 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131472574","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}
引用次数: 3
Probabilistic G-Metric space and some fixed point results 概率g -度量空间和一些不动点结果
Journal of Nonlinear Analysis and Application Pub Date : 2013-01-12 DOI: 10.5899/2013/JNAA-00190
M. Janfada, A. Janfada, Z. Mollaee
{"title":"Probabilistic G-Metric space and some fixed point results","authors":"M. Janfada, A. Janfada, Z. Mollaee","doi":"10.5899/2013/JNAA-00190","DOIUrl":"https://doi.org/10.5899/2013/JNAA-00190","url":null,"abstract":"In this note we introduce the notions of generalized probabilistic metric spaces and generalized Menger probabilistic metric spaces. After making our elementary observations and proving some basic properties of these spaces, we are going to prove some fixed point result in these spaces.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128842121","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}
引用次数: 2
A subclass of harmonic univalent functions with positive coefficients associated with fractional calculus operator 与分数阶微积分算子相关的正系数调和一元函数的一个子类
Journal of Nonlinear Analysis and Application Pub Date : 2012-09-01 DOI: 10.5899/2012/JNAA-00108
A. Pathak, S. Porwal, R. Agarwal, R. Misra
{"title":"A subclass of harmonic univalent functions with positive coefficients associated with fractional calculus operator","authors":"A. Pathak, S. Porwal, R. Agarwal, R. Misra","doi":"10.5899/2012/JNAA-00108","DOIUrl":"https://doi.org/10.5899/2012/JNAA-00108","url":null,"abstract":"In the present paper, we are defining a subclass of harmonic univalent functions with positive coefficients in unit disc $U$ by using fractional calculus operator. Further we obtain distortion bounds, extreme points and radii of convexity for functions belonging to this class and discuss a class preserving integral operator. Here we also determine that the class studied in this paper is closed under convolution and convex combinations.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126551546","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}
引用次数: 5
Orthogonal Stability of an Additive-quartic Functional Equation in Non-Archimedean Spaces 非阿基米德空间中加四次泛函方程的正交稳定性
Journal of Nonlinear Analysis and Application Pub Date : 2012-04-01 DOI: 10.5899/2012/JNAA-00123
S. Kang, Seon Woo Kim, Dong Hwan Lee, B. Son, Choonkill Park, H. A. Kenary
{"title":"Orthogonal Stability of an Additive-quartic Functional Equation in Non-Archimedean Spaces","authors":"S. Kang, Seon Woo Kim, Dong Hwan Lee, B. Son, Choonkill Park, H. A. Kenary","doi":"10.5899/2012/JNAA-00123","DOIUrl":"https://doi.org/10.5899/2012/JNAA-00123","url":null,"abstract":"Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation begin{align} f(2x+y)+ f(2x-y)&=4 f(x+y)+ 4 f(x-y) nonumber & + 10 f(x) + 14f(-x) - 3 f(y)-3f(-y)nonumber end{align} for all $x, y$ with $xperp y$, in non-Archimedean Banach spaces. Here $perp$ is the orthogonality in the sense of Ratz.","PeriodicalId":428129,"journal":{"name":"Journal of Nonlinear Analysis and Application","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134091928","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}
引用次数: 1
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