{"title":"Duality for non-smooth semidefinite multiobjective programming problems with equilibrium constraints using convexificators","authors":"B. Upadhyay, S. K. Singh, I. Stancu-Minasian","doi":"10.22436/jnsa.017.03.03","DOIUrl":"https://doi.org/10.22436/jnsa.017.03.03","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829193","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}
{"title":"Equivalence between best proximity point and fixed point for some class of multi-valued mappings","authors":"M. Mandal, S. Som","doi":"10.22436/jnsa.017.03.02","DOIUrl":"https://doi.org/10.22436/jnsa.017.03.02","url":null,"abstract":".","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":" 40","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141830132","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}
{"title":"Existence fixed point in convex extended s-metric spaces with applications","authors":"Qusuay H. Alqifiary, C. Park","doi":"10.22436/jnsa.017.03.01","DOIUrl":"https://doi.org/10.22436/jnsa.017.03.01","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":" 43","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141831210","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}
{"title":"Common fixed point theorems for two mappings in b-metric-like spaces","authors":"B. M. Najmabadi, T. L. Shateri","doi":"10.22436/jnsa.017.02.02","DOIUrl":"https://doi.org/10.22436/jnsa.017.02.02","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"81 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140368941","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}
The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufficient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.
{"title":"On the oscillatory behavior of solutions of canonical and noncanonical even-order neutral differential equations with distributed deviating arguments","authors":"A. El-Gaber","doi":"10.22436/jnsa.017.02.01","DOIUrl":"https://doi.org/10.22436/jnsa.017.02.01","url":null,"abstract":"The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufficient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"6 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140436484","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}
In this paper, we propose an iterative algorithm, which is based on the Mann iterative method for solving simultaneously common fixed point problem with a finite family of demicontractive mappings and systems of variational inequalities involving an infinite family of strongly accretive operators. Under suitable assumptions, we prove the strong convergence of this algorithm in Banach spaces. Application to systems of constrained convex minimization problem is provided to support our main results. The results of this paper improve and extend results of [M. Eslamian, C. R. Math. Acad. Sci. Paris, 355 (2017), 1168–1177], and of many others.
在本文中，我们提出了一种基于曼迭代法的迭代算法，用于同时求解具有有限族去收缩映射和涉及有限族强增量算子的变分不等式系统的共同定点问题。在适当的假设条件下，我们证明了该算法在巴拿赫空间中的强收敛性。为了支持我们的主要结果，我们还提供了对受约束凸最小化问题系统的应用。本文的结果改进并扩展了[M. Eslamian, C. R. Math. Acad. Sci. Paris, 355 (2017), 1168-1177]以及许多其他论文的结果。
{"title":"Strong convergence of perturbed Mann iteration for systems of variational inequality problems over the set of common fixed points of a finite family of demicontractive mappings in Banach spaces","authors":"T. Sow","doi":"10.22436/jnsa.017.01.04","DOIUrl":"https://doi.org/10.22436/jnsa.017.01.04","url":null,"abstract":"In this paper, we propose an iterative algorithm, which is based on the Mann iterative method for solving simultaneously common fixed point problem with a finite family of demicontractive mappings and systems of variational inequalities involving an infinite family of strongly accretive operators. Under suitable assumptions, we prove the strong convergence of this algorithm in Banach spaces. Application to systems of constrained convex minimization problem is provided to support our main results. The results of this paper improve and extend results of [M. Eslamian, C. R. Math. Acad. Sci. Paris, 355 (2017), 1168–1177], and of many others.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"85 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140457114","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}
{"title":"S J S -metric spaces: a survey","authors":"I. Beg, K. Roy, M. Saha","doi":"10.22436/jnsa.017.01.03","DOIUrl":"https://doi.org/10.22436/jnsa.017.01.03","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139531460","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}
In this paper, we study the following second order differential equation: −( Φ ( u (cid:48) ( t ))) (cid:48) + φ p ( u ( t )) = εf ( t , u ( t )) a.e. on Ω = [ 0, T ] under nonlinear multivalued boundary value conditions which incorporate as special cases the classicals boundary value conditions of type Dirichlet, Neumann, and Sturm-Liouville. Using monotone iterative method coupled with lower and upper solutions method, multifunction analysis, theory of monotone operators, and theory of topological degree, we show existence of solution and extremal solutions when the lower and upper solutions are well ordered or not. Since the boundary value conditions do not include the periodic one, we show that our method stay true for the periodic problem.
本文研究以下二阶微分方程：-( Φ ( u (cid:48) ( t )) (cid:48) + φ p ( u ( t )) = εf ( t , u ( t )) a.e. on Ω = [ 0, T ] 在非线性多值边界值条件下，这些条件作为特例包含了迪里夏特、诺伊曼和斯特姆-柳维尔类型的经典边界值条件。利用单调迭代法与上下解法、多元函数分析、单调算子理论和拓扑度理论相结合，我们证明了在上下解有序与否的情况下，解和极值解的存在性。由于边界值条件不包括周期性条件，我们证明了我们的方法对于周期性问题是正确的。
{"title":"A monotone iterative method for second order nonlinear problems with boundary conditions driven by maximal monotone multivalued operators","authors":"D. A. Béhi","doi":"10.22436/jnsa.017.01.01","DOIUrl":"https://doi.org/10.22436/jnsa.017.01.01","url":null,"abstract":"In this paper, we study the following second order differential equation: −( Φ ( u (cid:48) ( t ))) (cid:48) + φ p ( u ( t )) = εf ( t , u ( t )) a.e. on Ω = [ 0, T ] under nonlinear multivalued boundary value conditions which incorporate as special cases the classicals boundary value conditions of type Dirichlet, Neumann, and Sturm-Liouville. Using monotone iterative method coupled with lower and upper solutions method, multifunction analysis, theory of monotone operators, and theory of topological degree, we show existence of solution and extremal solutions when the lower and upper solutions are well ordered or not. Since the boundary value conditions do not include the periodic one, we show that our method stay true for the periodic problem.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"252 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139165534","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}
In this paper, we expand upon different concepts of convergence, including convergence in distribution, in the mean, and in measure, while also exploring uniform almost sure convergence of uncertain double sequences of fuzzy numbers in statistical context. Additionally, we present intriguing findings concerning these convergence concepts.
{"title":"Some observations on statistical convergence of uncertain double sequences of fuzzy numbers","authors":"¨Omer Kis¸i, Chiranjib Choudhury","doi":"10.22436/jnsa.017.01.02","DOIUrl":"https://doi.org/10.22436/jnsa.017.01.02","url":null,"abstract":"In this paper, we expand upon different concepts of convergence, including convergence in distribution, in the mean, and in measure, while also exploring uniform almost sure convergence of uncertain double sequences of fuzzy numbers in statistical context. Additionally, we present intriguing findings concerning these convergence concepts.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"29 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139163299","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}
This article concerns the numerical study of the behaviour of a flexible beam of Euler-Bernoulli to which one adds to its internal composition a damping of the viscous type. This damping naturally exerts a dissipative force (or viscous damping force) on the beam and opposes any deformation, in proportion to the rate of deformation. We are therefore interested in the impact of the damper on the exponential stability of the beam. We develop here a numerical method which faithfully reproduces the theoretical results obtained by several authors. Simulations are provided to illustrate our results.
{"title":"Numerical approximation of the dissipativity of energy and spectrum for a damped Euler-Bernoulli beam with variable coefficients","authors":"Bomisso Gossrin, Yapi Serge, Alain Joresse, Tour´e Kidj´egbo Augustin","doi":"10.22436/jnsa.016.03.01","DOIUrl":"https://doi.org/10.22436/jnsa.016.03.01","url":null,"abstract":"This article concerns the numerical study of the behaviour of a flexible beam of Euler-Bernoulli to which one adds to its internal composition a damping of the viscous type. This damping naturally exerts a dissipative force (or viscous damping force) on the beam and opposes any deformation, in proportion to the rate of deformation. We are therefore interested in the impact of the damper on the exponential stability of the beam. We develop here a numerical method which faithfully reproduces the theoretical results obtained by several authors. Simulations are provided to illustrate our results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73921992","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}
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