FilomatPub Date : 2023-01-01DOI: 10.2298/fil2305367a
M. Alikhani
{"title":"Some applications of p-(DPL) sets","authors":"M. Alikhani","doi":"10.2298/fil2305367a","DOIUrl":"https://doi.org/10.2298/fil2305367a","url":null,"abstract":"In this paper, we introduce a new class of subsets of class bounded linear operators between Banach spaces which is called p-(DPL) sets. Then, the relationship between these sets with equicompact sets is investigated. Moreover, we define p-version of Right sequentially continuous differentiable mappings and get some characterizations of these mappings. Finally, we prove that a mapping f : X ? Y between real Banach spaces is Fr?chet differentiable and f? takes bounded sets into p-(DPL) sets if and only if f may be written in the form f = 1?S where the intermediate space is normed, S is a Dunford-Pettis p-convergent operator, and g is a G?teaux differentiable mapping with some additional properties.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2305549l
Mohamed Laghzal, A. Touzani
{"title":"Existence of mountain-pass solutions for p(・)-biharmonic equations with Rellich-type term","authors":"Mohamed Laghzal, A. Touzani","doi":"10.2298/fil2305549l","DOIUrl":"https://doi.org/10.2298/fil2305549l","url":null,"abstract":"This manuscript discusses the existence of nontrivial weak solution for the following nonlinear eigenvalue problem driven by the p(?)-biharmonic operator with Rellich-type term {?(|?u|p(x)?2?u) = ?|u|q(x)?2u/?(x)2q(x), for x ? ?, u = ?u = 0, for x ? ??. Considering the case 1 < min x?? p(x) ? max x?? p(x) < min x?? q(x) ? max x?? q(x) < min (N 2, Np(x) N ? 2p(x) ), we extend the corresponding result of the reference [8], for the case 1 < min x?? q(x) ? max x?? q(x) < min x?? p(x) ? max x?? .p(x) < N 2 . The proofs of the main results are based on the mountain pass theorem","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2307997s
Ling Sun, F. Kong
{"title":"Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays","authors":"Ling Sun, F. Kong","doi":"10.2298/fil2307997s","DOIUrl":"https://doi.org/10.2298/fil2307997s","url":null,"abstract":"In this paper, a class of complex-valued neural networks with time-varying delays is studied. By employing an extension of Mawhin?s continuation theorem and an approximation technique, several sufficient conditions of the new results on the existence of homoclinic solutions and periodic solutions are established. Moreover, the asymptotic behavior of solutions via the Lyapunov function is also investigated. Finally, for the purpose of validity, an example is given to illustrate the effectiveness of main results.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2308495w
Yaning Wang, Pei Wang
{"title":"Almost Kenmotsu manifolds with constant Reeb or Ф-sectional curvatures","authors":"Yaning Wang, Pei Wang","doi":"10.2298/fil2308495w","DOIUrl":"https://doi.org/10.2298/fil2308495w","url":null,"abstract":"In this paper, we prove that an almost Kenmotsu manifold M has constant Reeb sectional curvatures if and only if M has conformal Reeb foliation. Onan almost Kenmotsu h-a-manifold of dimension three having constant ?-sectional curvature, the Reeb vector field is an eigenvector field of the Ricci operator if and only if the manifold is locally isometric to a non-unimodular Lie group.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68275522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2301037a
A. Ansari, F. Shujat
{"title":"Jordan *-derivations on standard operator algebras","authors":"A. Ansari, F. Shujat","doi":"10.2298/fil2301037a","DOIUrl":"https://doi.org/10.2298/fil2301037a","url":null,"abstract":"LetH be a real or complex Hilbert space with dim(H) > 1, B(H) be algebra of all bounded linear operators on H and A(H) ? B(H) be a standard operator algebra on H. If D : A(H) ? B(H) is a linear mapping satisfying D(An+1) = Pn i=0 AiD(A)(A*)n?i for all A ? A(H), then D is a Jordan *-derivation on A(H). Later, we discuss some algebraic identities on semiprime rings.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2301155w
Pei Wang, Xiangjun Kong
{"title":"Abundant semigroups with weakly simplistic RGQA transversals","authors":"Pei Wang, Xiangjun Kong","doi":"10.2298/fil2301155w","DOIUrl":"https://doi.org/10.2298/fil2301155w","url":null,"abstract":"As the real common generalisations of both orthodox transversals and adequate transversals in abundant semigroups, the concept of refined generalised quasi-adequate transversals, briefly, RGQA transversals was introduced by Kong and Wang. In this paper, for the RGQA transversal, the necessary and sufficient condition for the sets I and ? to be bands is investigated. It is demonstrated that the sets I and ? are both bands if and only if the RGQA transversal is weakly simplistic. Moreover, the RGQA transversal So being weakly simplistic is different from So being a quasi-ideal nor the abundant semigroup S satisfying the regularity condition. Finally, by means of a quasi-adequate semigroup and a band, the structure theorem for an abundant semigroup with a weakly simplistic RGQA transversal is established.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2302443k
Sonia Keskes, M. Mnif
{"title":"Representation of essentially semi regular linear relations and perturbations","authors":"Sonia Keskes, M. Mnif","doi":"10.2298/fil2302443k","DOIUrl":"https://doi.org/10.2298/fil2302443k","url":null,"abstract":"In the case of linear operator the property P(B, k) was introduced by M.A. Kaashoek. In this paper, we characterize the essentially semi regular linear relation in terms of the property P(B, k). After that and as an application of this result we give some connection between essentially semi regular and semi regular linear relations. Further, we will give some supplementary conditions on essentially semi regular linear relation to be semi Fredholm. Then, we analyze the stability of the class of essentially semi regular linear relations under small perturbations and Riesz operators. Finally, we study some properties of the essentially semi regular spectrum of a linear relation and we establish a spectral mapping theorem.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2302591e
Abdelkader Elmoumen, Halima Zerouati, A. Dahmani
{"title":"Confidence ellipses for simple regression parameters with strongly mixing errors","authors":"Abdelkader Elmoumen, Halima Zerouati, A. Dahmani","doi":"10.2298/fil2302591e","DOIUrl":"https://doi.org/10.2298/fil2302591e","url":null,"abstract":"In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2303689f
A. Farajzadeh, P. Zangenehmehr
{"title":"On generalized implicit equilibrium problems","authors":"A. Farajzadeh, P. Zangenehmehr","doi":"10.2298/fil2303689f","DOIUrl":"https://doi.org/10.2298/fil2303689f","url":null,"abstract":"This paper is devoted to the investigation of the generalized implicit equilibrium problems with weak conditions in general space. Sufficient conditions for the set of solutions to be compact and convex are given. Our results improve some recent results in this field.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2303915p
Eunmi Pak, G. Kim
{"title":"Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians","authors":"Eunmi Pak, G. Kim","doi":"10.2298/fil2303915p","DOIUrl":"https://doi.org/10.2298/fil2303915p","url":null,"abstract":"In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2?Um), it is known that a real hypersurface satisfying the condition (L?(k)?R?)Y = (L?R?)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2?Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2?Um) with the above condition.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}