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On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities 一类模糊混合指数向量变分不等式解的存在性问题
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-17 DOI: 10.22436/JNSA.011.07.04
Shih-sen Chang, Salahuddin, C. Wen, Xiongrui Wang
{"title":"On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities","authors":"Shih-sen Chang, Salahuddin, C. Wen, Xiongrui Wang","doi":"10.22436/JNSA.011.07.04","DOIUrl":"https://doi.org/10.22436/JNSA.011.07.04","url":null,"abstract":"In this research article, we deal with a new kind of mixed exponential fuzzy vector variational inequalities in ordered Euclidean spaces. By using KKM-technique and Nadler’s fixed point theorem, we prove some existence theorems of solutions to mixed exponential vector variational inequality problems in fuzzy environment.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"35 1","pages":"916-926"},"PeriodicalIF":0.0,"publicationDate":"2018-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73598251","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
Superstability of Kannappan's and Van vleck's functional equations Kannappan和Van vleck泛函方程的超稳定性
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-17 DOI: 10.22436/JNSA.011.07.03
Belfakih Keltouma, E. Elhoucien, T. Rassias, R. Ahmed
{"title":"Superstability of Kannappan's and Van vleck's functional equations","authors":"Belfakih Keltouma, E. Elhoucien, T. Rassias, R. Ahmed","doi":"10.22436/JNSA.011.07.03","DOIUrl":"https://doi.org/10.22436/JNSA.011.07.03","url":null,"abstract":"In this paper, we prove the superstability theorems of the functional equations μ(y)f(xσ(y)z0)± f(xyz0) = 2f(x)f(y), x,y ∈ S, μ(y)f(σ(y)xz0)± f(xyz0) = 2f(x)f(y), x,y ∈ S, where S is a semigroup, σ is an involutive morphism of S, and μ : S −→ C is a bounded multiplicative function such that μ(xσ(x)) = 1 for all x ∈ S, and z0 is in the center of S.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"19 1","pages":"894-915"},"PeriodicalIF":0.0,"publicationDate":"2018-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81952764","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: 8
Weakly invariant subspaces for multivalued linear operators on Banach spaces Banach空间上多值线性算子的弱不变子空间
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-16 DOI: 10.22436/JNSA.011.07.01
G. Wanjala
{"title":"Weakly invariant subspaces for multivalued linear operators on Banach spaces","authors":"G. Wanjala","doi":"10.22436/JNSA.011.07.01","DOIUrl":"https://doi.org/10.22436/JNSA.011.07.01","url":null,"abstract":"Peter Saveliev generalized Lomonosov’s invariant subspace theorem to the case of linear relations. In particular, he proved that if S and T are linear relations defined on a Banach space X and having finite dimensional multivalued parts and if T right commutes with S, that is, ST ⊂ TS, and if S is compact then T has a nontrivial weakly invariant subspace. However, the case of left commutativity remained open. In this paper, we develop some operator representation techniques for linear relations and use them to solve the left commutativity case mentioned above under the assumption that ST(0) = S(0) and TS(0) = T(0).","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"87 1","pages":"877-884"},"PeriodicalIF":0.0,"publicationDate":"2018-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83437952","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
A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system 求解一维奇异伪热弹性耦合系统的双拉普拉斯分解法注记
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-03 DOI: 10.22436/JNSA.011.06.12
H. Eltayeb, Imed Bachar
{"title":"A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system","authors":"H. Eltayeb, Imed Bachar","doi":"10.22436/JNSA.011.06.12","DOIUrl":"https://doi.org/10.22436/JNSA.011.06.12","url":null,"abstract":"In this paper, Adomain decomposition method is reintroduced with double Laplace transform methods to obtain closed form solutions of linear and nonlinear singular one dimensional pseudo thermo-elasticity coupled system. The nonlinear terms can be easily handled by the use of Adomian polynomials. Furthermore, we illustrate our proposed methods by one example.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":"864-876"},"PeriodicalIF":0.0,"publicationDate":"2018-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85915131","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
Schur convexity properties for a class of symmetric functions with applications 一类对称函数的Schur凸性及其应用
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-03 DOI: 10.22436/JNSA.011.06.10
Wei-Mao Qian, Y. Chu
{"title":"Schur convexity properties for a class of symmetric functions with applications","authors":"Wei-Mao Qian, Y. Chu","doi":"10.22436/JNSA.011.06.10","DOIUrl":"https://doi.org/10.22436/JNSA.011.06.10","url":null,"abstract":"In the article, we prove that the symmetric function Fn (x1, x2, · · · , xn; r) = ∑ 16i1<i2<···<ir6n r ∏ j=1 ( 1 + xij 1 − xij )1/r is Schur convex, Schur multiplicatively convex and Schur harmonic convex on [0, 1)n, and establish several new analytic inequalities by use of the theory of majorization, where r ∈ {1, 2, · · · ,n} and i1, i2, · · · in are integers.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"12 1","pages":"841-849"},"PeriodicalIF":0.0,"publicationDate":"2018-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84971495","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
Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function 利用Lidstone多项式和新Green函数对多数化不等式的推广结果
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-03 DOI: 10.22436/jnsa.011.06.08
N. Latif, J. Pečarić, N. Siddique
{"title":"Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function","authors":"N. Latif, J. Pečarić, N. Siddique","doi":"10.22436/jnsa.011.06.08","DOIUrl":"https://doi.org/10.22436/jnsa.011.06.08","url":null,"abstract":"Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"50 1","pages":"812-831"},"PeriodicalIF":0.0,"publicationDate":"2018-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86454656","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
Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials 解析连多项式的零点动力学及与q-tan多项式相关的微分方程
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-04-25 DOI: 10.22436/JNSA.011.06.06
C. Ryoo, Kyung-Won Hwang, Do Jin Kim, N. Jung
{"title":"Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials","authors":"C. Ryoo, Kyung-Won Hwang, Do Jin Kim, N. Jung","doi":"10.22436/JNSA.011.06.06","DOIUrl":"https://doi.org/10.22436/JNSA.011.06.06","url":null,"abstract":"In this paper, we study the analytic continuation Tq(s) and Tq(s,w) of the q-Tangent numbers Tn,q and q-Tangent polynomials Tn,q(x) introduced by authors. The new concept of dynamics of the zeros of analytic continued q-tangent polynomials is investigated observing an interesting phenomenon of ‘scattering’ of the zeros of Tq(s,w). Finally, we study linear differential equations arising from the generating functions of q-tangent polynomials giving explicit identities for the q-tangent polynomials.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"73 1","pages":"785-797"},"PeriodicalIF":0.0,"publicationDate":"2018-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86175898","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
Asymptotic behavior of parametric estimation for a class of nonlinear diffusion process 一类非线性扩散过程参数估计的渐近性态
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-04-25 DOI: 10.22436/jnsa.011.06.05
Chengliang Zhu
{"title":"Asymptotic behavior of parametric estimation for a class of nonlinear diffusion process","authors":"Chengliang Zhu","doi":"10.22436/jnsa.011.06.05","DOIUrl":"https://doi.org/10.22436/jnsa.011.06.05","url":null,"abstract":"In this paper, a stochastic process, which is a class of nonhomogeneous diffusion process from the perspective of the corresponding nonlinear stochastic differential equation is studied. The parameter included in the drift term are estimated by sequential maximum likelihood methodology. The sequential estimators are proved to be closed, unbiased, strongly consistent, normally distributed, and optimal in the mean square sense.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":"778-784"},"PeriodicalIF":0.0,"publicationDate":"2018-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90039920","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
Sharp generalized Papenfuss-Bach-type inequality 夏普广义papenfuss - bach型不等式
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-04-19 DOI: 10.22436/JNSA.011.06.04
Ling Zhu
{"title":"Sharp generalized Papenfuss-Bach-type inequality","authors":"Ling Zhu","doi":"10.22436/JNSA.011.06.04","DOIUrl":"https://doi.org/10.22436/JNSA.011.06.04","url":null,"abstract":"In this paper, we prove and develop a conjecture on the generalized double Papenfuss-Bach inequality proposed by Sun and Zhu [Z. Sun, L. Zhu, J. Appl. Math., 2011 (2011), 9 pages]. In the last section we pose a conjecture on a general form of Papenfuss-Bach-type inequality.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"400 1","pages":"770-777"},"PeriodicalIF":0.0,"publicationDate":"2018-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80075226","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 Brunn-Minkowski type inequality 关于Brunn-Minkowski型不等式
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-04-19 DOI: 10.22436/jnsa.011.06.03
Lewen Ji, Zhenbing Zeng, Jingjing Zhong
{"title":"On Brunn-Minkowski type inequality","authors":"Lewen Ji, Zhenbing Zeng, Jingjing Zhong","doi":"10.22436/jnsa.011.06.03","DOIUrl":"https://doi.org/10.22436/jnsa.011.06.03","url":null,"abstract":"The notion of Aleksandrov body in the classical Brunn-Minkowski theory is extended to that of Orlicz-Aleksandrov body in the Orlicz Brunn-Minkowski theory. The analogs of the Brunn-Minkowski type inequality and the first variations of volume are established via Orlicz-Aleksandrov body. We also make some considerations for the polar of Orlicz combination.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"36 1","pages":"762-769"},"PeriodicalIF":0.0,"publicationDate":"2018-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75776476","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
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