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Some fixed point theorems in fuzzy bipolar metric spaces 模糊双极度量空间中的不动点定理
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-02-04 DOI: 10.22436/jnsa.013.04.04
A. Bartwal, R. Dimri, G. Prasad
{"title":"Some fixed point theorems in fuzzy bipolar metric spaces","authors":"A. Bartwal, R. Dimri, G. Prasad","doi":"10.22436/jnsa.013.04.04","DOIUrl":"https://doi.org/10.22436/jnsa.013.04.04","url":null,"abstract":"In this paper, we introduce the notion of fuzzy bipolar metric space and prove some fixed point results in this space. We provide some non-trivial examples to support our claim and also give applications for the usability of the main result in fuzzy bipolar metric spaces.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"19 1","pages":"196-204"},"PeriodicalIF":0.0,"publicationDate":"2020-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87493293","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: 16
Generalized Suzuki type α-Z-contraction in b-metric space b-度量空间中广义Suzuki型α- z收缩
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-02-02 DOI: 10.22436/jnsa.013.04.06
Swati Antal, U. Gairola
{"title":"Generalized Suzuki type α-Z-contraction in b-metric space","authors":"Swati Antal, U. Gairola","doi":"10.22436/jnsa.013.04.06","DOIUrl":"https://doi.org/10.22436/jnsa.013.04.06","url":null,"abstract":"In this paper, we introduce the concept of generalized Suzuki type α-Z-contraction concerning a simulation function ζ in b-metric space and prove the existence of fixed point results for this contraction. Our result extend the fixed point result of [A. Padcharoen, P. Kumam, P. Saipara, P. Chaipunya, Kragujevac J. Math., 42 (2018), 419–430].","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"9 1","pages":"212-222"},"PeriodicalIF":0.0,"publicationDate":"2020-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85367580","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: 11
Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic 测度链上状态空间动力系统的稳定性、可控性和可观测性准则及其在不动点算法中的应用
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-01-30 DOI: 10.22436/jnsa.013.04.03
Yuehua Wu, K. Murty
{"title":"Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic","authors":"Yuehua Wu, K. Murty","doi":"10.22436/jnsa.013.04.03","DOIUrl":"https://doi.org/10.22436/jnsa.013.04.03","url":null,"abstract":"In this paper, our main attempt is to unify results on stability, controllability, and observability criteria on real-time dynamical systems with non-uniform domains. The results of continuous/discrete systems will now become a particular case of our results. As an application a first-order time scale dynamical system on measure chains in one-dimensional state space having both continuous/discrete filters to minimize the effect of a round of noise at the filter outputs is presented. A set of necessary and sufficient conditions for this dynamical system to be stable and completely stable are established.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"10 1","pages":"187-195"},"PeriodicalIF":0.0,"publicationDate":"2020-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90439565","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
Existence of integrable solutions for integro-differential inclusions of fractional order; coupled system approach 分数阶积分-微分包含的可积解的存在性耦合系统法
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-01-08 DOI: 10.22436/jnsa.013.04.02
A. El-Sayed, S. Al-Issa
{"title":"Existence of integrable solutions for integro-differential inclusions of fractional order; coupled system approach","authors":"A. El-Sayed, S. Al-Issa","doi":"10.22436/jnsa.013.04.02","DOIUrl":"https://doi.org/10.22436/jnsa.013.04.02","url":null,"abstract":"In this article, we establish the existence of solutions for a functional integral equation of fractional order. The study upholds the case when the set-valued function has L1-Carathèodory selections, we reformulate the functional integral inclusion according to these selections via a classical fixed point theorem of Schauder and present theorem for the existence of integrable solutions. As an application, the existence of solutions of nonlinear functional integro-differential inclusion with an initial value, and the initial value problem for the arbitrary-order differential inclusion will be studied.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"80 1","pages":"180-186"},"PeriodicalIF":0.0,"publicationDate":"2020-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83331514","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: 12
On the solution of Wave-Schrodinger equation 关于波-薛定谔方程的解
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-01-07 DOI: 10.22436/jnsa.013.04.01
W. Satsanit
{"title":"On the solution of Wave-Schrodinger equation","authors":"W. Satsanit","doi":"10.22436/jnsa.013.04.01","DOIUrl":"https://doi.org/10.22436/jnsa.013.04.01","url":null,"abstract":"In this paper, we are finding a solution of the fractional Wave-Schrodinger equation by Laplace transform in the sense of Caputo fractional derivative. It was found that the fundamental solution of the equation is related to Wright function.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"106 1","pages":"176-179"},"PeriodicalIF":0.0,"publicationDate":"2020-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78480259","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
Fixed point theorems for rational type (α-Θ)-contractions in controlled metric spaces 控制度量空间中有理型(α-Θ)收缩的不动点定理
The Journal of Nonlinear Sciences and Applications Pub Date : 2019-12-10 DOI: 10.22436/jnsa.013.03.05
Jamshaid Ahmad, Durdana Lateef
{"title":"Fixed point theorems for rational type (α-Θ)-contractions in controlled metric spaces","authors":"Jamshaid Ahmad, Durdana Lateef","doi":"10.22436/jnsa.013.03.05","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.05","url":null,"abstract":"This paper aims to define rational type (α-Θ)-contraction in controlled metric space and obtain some advanced fixed point theorems. The outcomes generalize and extend various famous results in the literature. An example and certain consequences are presented to illustrate the significance of established results.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"os-52 1","pages":"163-170"},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87251032","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
On the convergence of double Sumudu transform 关于二重Sumudu变换的收敛性
The Journal of Nonlinear Sciences and Applications Pub Date : 2019-12-04 DOI: 10.22436/jnsa.013.03.04
Zulfiqar Ahmed, Muhammad Idrees, F. Belgacem, Z. Perveen
{"title":"On the convergence of double Sumudu transform","authors":"Zulfiqar Ahmed, Muhammad Idrees, F. Belgacem, Z. Perveen","doi":"10.22436/jnsa.013.03.04","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.04","url":null,"abstract":"In this article, we have studied the convergence properties of double Sumudu transformation, and we presented the results in the form of theorems on convergence, absolute convergence, and uniform convergence of Double Sumudu transformation. The Double Sumudu transform of double Integral has also been discussed for integral evaluation. Finally, we have solved a Volterra integro-partial differential equation by using Double Sumudu transformation.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"182 1","pages":"154-162"},"PeriodicalIF":0.0,"publicationDate":"2019-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74167274","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: 12
Characteristic roots of a second order retarded functional differential equation via spectral-tau method 用谱方法求二阶时滞泛函微分方程的特征根
The Journal of Nonlinear Sciences and Applications Pub Date : 2019-11-15 DOI: 10.22436/jnsa.013.03.03
H. K. Abdullah, Amal Khalaf Haydar, Kawther Reyadh Obead
{"title":"Characteristic roots of a second order retarded functional differential equation via spectral-tau method","authors":"H. K. Abdullah, Amal Khalaf Haydar, Kawther Reyadh Obead","doi":"10.22436/jnsa.013.03.03","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.03","url":null,"abstract":"In this paper, we have found the solution of second-order delay differential equations of retarded type with multiple delays. As well as developing an approximation for finding characteristic roots for such delay differential equations via the method of spectral tau which depends on the basis mixed Fourier basis or shifted Chebyshev polynomials.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"48 1","pages":"147-153"},"PeriodicalIF":0.0,"publicationDate":"2019-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78977455","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
On the oscillation for n th-order nonlinear neutral delay dynamic equations on time scales 时间尺度上n阶非线性中立型时滞动力学方程的振动性
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-24 DOI: 10.22436/jnsa.011.07.06
Yaru Zhou, Zhanhe Chen, T. Sun
{"title":"On the oscillation for n th-order nonlinear neutral delay dynamic equations on time scales","authors":"Yaru Zhou, Zhanhe Chen, T. Sun","doi":"10.22436/jnsa.011.07.06","DOIUrl":"https://doi.org/10.22436/jnsa.011.07.06","url":null,"abstract":"In this paper, we investigate the solution’s oscillation of nth-order nonlinear dynamic equation [an(t)((an−1(t)(· · · (a1(t)(x(t) − p(t)x(τ(t))))1) · · · ))n ] + f(t, x(δ(t))) = 0 on a time scale T with n > 2. We give some conditions for the oscillation of the above equation.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"25 5","pages":"937-946"},"PeriodicalIF":0.0,"publicationDate":"2018-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91421275","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
Projection algorithms with dynamic stepsize for constrained composite minimization 基于动态步长的约束组合最小化投影算法
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-24 DOI: 10.22436/JNSA.011.07.05
Yujing Wu, Luoyi Shi, Rudong Chen
{"title":"Projection algorithms with dynamic stepsize for constrained composite minimization","authors":"Yujing Wu, Luoyi Shi, Rudong Chen","doi":"10.22436/JNSA.011.07.05","DOIUrl":"https://doi.org/10.22436/JNSA.011.07.05","url":null,"abstract":"The problem of minimizing the sum of a large number of component functions over the intersection of a finite family of closed convex subsets of a Hilbert space is researched in the present paper. In the case of the number of the component functions is huge, the incremental projection methods are frequently used. Recently, we have proposed a new incremental gradient projection algorithm for this optimization problem. The new algorithm is parameterized by a single nonnegative constant μ. And the algorithm is proved to converge to an optimal solution if the dimensional of the Hilbert space is finite the step size is diminishing (such as αn = O(1/n)). In this paper, the algorithm is modified by employing the constant and the dynamic stepsize, and the corresponding convergence properties are analyzed.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"2 4 1","pages":"927-936"},"PeriodicalIF":0.0,"publicationDate":"2018-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83457985","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
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