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":"1 1","pages":""},"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":"1 1","pages":""},"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}
FilomatPub Date : 2023-01-01DOI: 10.2298/fil2303925o
N. Orumbayeva, T. Tokmagambetova
{"title":"On the solvability of a semiperiodic boundary value problem for a pseudohyperbolic equation","authors":"N. Orumbayeva, T. Tokmagambetova","doi":"10.2298/fil2303925o","DOIUrl":"https://doi.org/10.2298/fil2303925o","url":null,"abstract":"The solvability of the boundary value problem for pseudohyperbolic equations of the third order is investigated. For the problem under study, an algorithm for finding an approximate solution is proposed and sufficient conditions for unique solvability are established.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268089","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/fil2304037w
A. Wanas, G. Sâlâgean, Ágnes Orsolya
{"title":"Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials","authors":"A. Wanas, G. Sâlâgean, Ágnes Orsolya","doi":"10.2298/fil2304037w","DOIUrl":"https://doi.org/10.2298/fil2304037w","url":null,"abstract":"In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268215","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/fil2304053z
Kaihong Zhao
{"title":"Existence and uh-stability of integral boundary problem for a class of nonlinear higher-order Hadamard fractional Langevin equation via Mittag-Leffler functions","authors":"Kaihong Zhao","doi":"10.2298/fil2304053z","DOIUrl":"https://doi.org/10.2298/fil2304053z","url":null,"abstract":"The Langevin equation is a very important mathematical model in describing the random motion of particles. The fractional Langevin equation is a powerful tool in complex viscoelasticity. Therefore, this paper focuses on a class of nonlinear higher-order Hadamard fractional Langevin equation with integral boundary value conditions. Firstly, we employ successive approximation and Mittag-Leffler function to transform the differential equation into an equivalent integral equation. Then the existence and uniqueness of the solution are obtained by using the fixed point theory. Meanwhile, the Ulam-Hyers (UH) stability is proved by inequality technique and direct analysis.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268319","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/fil2304155c
M. Choudhary, S. Uddin
{"title":"Some basic inequalities on golden Riemannian product manifolds with constant curvatures","authors":"M. Choudhary, S. Uddin","doi":"10.2298/fil2304155c","DOIUrl":"https://doi.org/10.2298/fil2304155c","url":null,"abstract":"This article is devoted to prove the basic Chen?s inequalities for slant submanifolds in Riemannian space forms equipped with Golden structure. The equality case and some particular cases of derived inequalities are discussed.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268500","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/fil2304277s
M. Sarıgöl
{"title":"Four dimensional matrix mappings on double summable spaces","authors":"M. Sarıgöl","doi":"10.2298/fil2304277s","DOIUrl":"https://doi.org/10.2298/fil2304277s","url":null,"abstract":"In a previous paper [9], some classes of triangular matrix transformations between the series spaces summable by the absolute weighted summability methods were characterized. In the present paper, we extend these classes to four dimensional matrices and double summability methods.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268730","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/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":"1 1","pages":""},"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":"1 1","pages":""},"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/fil2306835f
K. Fallahi, G. Rad, A. Fulga
{"title":"Best proximity points for (φ-ψ)-weak contractions and some applications","authors":"K. Fallahi, G. Rad, A. Fulga","doi":"10.2298/fil2306835f","DOIUrl":"https://doi.org/10.2298/fil2306835f","url":null,"abstract":"The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271168","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}