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Multivalued fixed point theorems in cone metric spaces over Banach algebras Banach代数上锥度量空间中的多值不动点定理
Gulf Journal of Mathematics Pub Date : 2023-04-04 DOI: 10.56947/gjom.v14i2.961
Noushida P P, A. V.
{"title":"Multivalued fixed point theorems in cone metric spaces over Banach algebras","authors":"Noushida P P, A. V.","doi":"10.56947/gjom.v14i2.961","DOIUrl":"https://doi.org/10.56947/gjom.v14i2.961","url":null,"abstract":"In this article we prove some multivalued fixed point results for generalized set valued contraction type  and generalized alpha admissible multivalued mappings in the setting of H-cone metric in cone metric spaces over Banach algebras by assuming a weaker condition on generalized contraction constant by means of spectral radius.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132820877","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
Two topics in number theory: the greatest k-free number that divides n and formulas for composite and prime numbers 数论中的两个主题:能整除n的最大无k数和合数和素数的公式
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1089
R. Jakimczuk
{"title":"Two topics in number theory: the greatest k-free number that divides n and formulas for composite and prime numbers","authors":"R. Jakimczuk","doi":"10.56947/gjom.v14i1.1089","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1089","url":null,"abstract":"In the first part we study the greatest k-free number that divides n. Consequently, we generalize the kernel of the positive integer n. That is, the greatest square-free number that divides n. In the second part we obtain formulas for composite and prime numbers and prove some inequalities.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128486466","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
Initial coefficient bounds and second Hankel determinant for a certain class of bi-univalent functions using Chebyshev polynomials 用切比雪夫多项式求一类双一元函数的初始系数界和二次汉克尔行列式
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1092
R. Ayinla, T. Opoola
{"title":"Initial coefficient bounds and second Hankel determinant for a certain class of bi-univalent functions using Chebyshev polynomials","authors":"R. Ayinla, T. Opoola","doi":"10.56947/gjom.v14i1.1092","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1092","url":null,"abstract":"In this work, we define a new subclass CΣ(β, γ, n, t) of analytic and bi-univalent functions in the open unit disk. Thereafter, we investigated the coefficient bounds and the second Hankel determinant by means of Chebyshev polynomials.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124230152","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
Coefficient estimates for certain class of bi-univalent functions associated with κ-Fibonacci numbers 一类与κ-斐波那契数相关的双单价函数的系数估计
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1096
M. Shrigan
{"title":"Coefficient estimates for certain class of bi-univalent functions associated with κ-Fibonacci numbers","authors":"M. Shrigan","doi":"10.56947/gjom.v14i1.1096","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1096","url":null,"abstract":"In the present work, we propose to introduce and investigate a new class SLΣq,μ (γ, λ, n, pκ) of the function class Σ of bi-univalent functions related to κ-Fibonacci numbers defined in the open unit disk, which is associated with the Salagean type q-difference operator and satisfy some subordination conditions. We obtain coefficient bounds for the Taylor–Maclaurin coefficients |a2| and |a3| of the functions in the new class. Furthermore, we solve the Fekete–Szegö functional for functions in the class SLΣq,μ (γ, λ, n, pκ).","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122870640","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
Nonlinear singular Hahn-Sturm-Liouville problems on [ω_0, ∞) ω_0，∞上的非线性奇异Hahn-Sturm-Liouville问题
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1088
B. Allahverdiev, H. Tuna
{"title":"Nonlinear singular Hahn-Sturm-Liouville problems on [ω_0, ∞)","authors":"B. Allahverdiev, H. Tuna","doi":"10.56947/gjom.v14i1.1088","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1088","url":null,"abstract":"In this paper, we investigate a nonlinear Hahn-Sturm-Liouville problem on [ω0, ∞) under the assumption that the Hahn-Sturm-Liouville equation is in the limit-circle case at ∞. The existence and uniqueness of the solutions for these problems are obtained.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"57 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134005285","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
On multiplicity-free induced representations of a homogeneous tree 齐次树的无多重诱导表示
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1090
H. A. Milan, Ibrahima Toure
{"title":"On multiplicity-free induced representations of a homogeneous tree","authors":"H. A. Milan, Ibrahima Toure","doi":"10.56947/gjom.v14i1.1090","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1090","url":null,"abstract":"Let Tq, n be a homogeneous rooted tree, let K be a subgroup of Aut(Tq, n), the group of automorphisms of Tq, n, and let τq, ℓ be a unitary irreducible representation of K. In this paper, we construct some multiplicity-free irreducible representations of Aut(Tq, n). We also give a necessary condition for (Aut(Tq, n), K) to be a strong Gelfand pair.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127297105","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
Existence of a weak solutions to a class of nonlinear parabolic problems via topological degree method 利用拓扑度法研究一类非线性抛物型问题弱解的存在性
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1091
Mohamed El Ouaarabi, C. Allalou, Melliani Melliani
{"title":"Existence of a weak solutions to a class of nonlinear parabolic problems via topological degree method","authors":"Mohamed El Ouaarabi, C. Allalou, Melliani Melliani","doi":"10.56947/gjom.v14i1.1091","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1091","url":null,"abstract":"In this paper, we study the existence of \"weak solutions\" for a class of nonlinear parabolic problems of the type \u0000∂ u⁄∂ t - div Α (x, t, ∇ u) = Φ (x, t) + div B(x, t, u, ∇ u). \u0000Using Berkovits and Mustonen's topological degree theory, we demonstrate the existence of a weak solutions to the problems under consideration in the space Lp(0, T, W01, p(Ω)), where Ω is a bounded domain in RN, N ≥ 2 and p ≥ 2.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126632935","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
Amalgamated rings with semi nil-clean properties 具有半净镍性能的合金环
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1093
Vijay. Venkatachalam, Selvaraj Chelliah
{"title":"Amalgamated rings with semi nil-clean properties","authors":"Vijay. Venkatachalam, Selvaraj Chelliah","doi":"10.56947/gjom.v14i1.1093","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1093","url":null,"abstract":"An element in a ring R is said to be semi nil-clean if it is a sum of nilpotent and periodic elements in R. An element in a ring R is said to be semiclean if it is a sum of unit and periodic elements in R. A ring R is said to be semi nil-clean (resp., semiclean) if every element in R is semi nil-clean (resp., semiclean). We discuss some basic properties of semi nil-clean ring and we also study the concepts of semi nil-clean and semiclean properties in various context of commutative rings such as amalgamations and the ring of polynomials R[x] of a ring R.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"304 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130406912","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
Study of elliptic curve over a finite ring F_{3^d}[ε], ε^4 = ε^3 有限环上椭圆曲线F_{3^d}[ε]， ε^4 = ε^3
Gulf Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.56947/gjom.v14i1.1095
Bilel Selikh
{"title":"Study of elliptic curve over a finite ring F_{3^d}[ε], ε^4 = ε^3","authors":"Bilel Selikh","doi":"10.56947/gjom.v14i1.1095","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1095","url":null,"abstract":"Let F3d be a finite field of order 3d with d∈ N*. In this paper, we study the elliptic curve over the finite ring F3d[ε] :=F3d[X] / (X4 -X3), where ε4 = ε3 of characteristic 3 given by the homogeneous Weierstrass equation of the form Y2Z = X3 + aX2Z + bZ3, where a, b ∈F3d[ε], such that we study the arithmetic operations of this ring and define the elliptic curve over it. Next, we show that EΠ0(a), Π0(b)(F3d) and EΠ1(a), Π1(b)(F3d) are two elliptic curves over the finite field F3d, such that Π0 is a canonical projection and Π1 is a sum projection of coordinate of element in F3d[ε] and we conclude by given a classification of elements in elliptic curve over the finite ring F3d[ε].","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125758544","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
Interpolative fuzzy Z-contraction with its application to Fredholm non-linear integral equation 插值模糊z压缩及其在Fredholm非线性积分方程中的应用
Gulf Journal of Mathematics Pub Date : 2023-01-08 DOI: 10.56947/gjom.v14i1.1009
Shobha Jain, S. Radenović
{"title":"Interpolative fuzzy Z-contraction with its application to Fredholm non-linear integral equation","authors":"Shobha Jain, S. Radenović","doi":"10.56947/gjom.v14i1.1009","DOIUrl":"https://doi.org/10.56947/gjom.v14i1.1009","url":null,"abstract":"The aim of this paper is to introduce the notion of interpolative fuzzy Z-contractive condition for a pair of self maps in a fuzzy metric space, which enlarges, unifies and generalizes the existing fuzzy contractions (by Gregori and Sapena [6]), ψ contraction (by Mihet [11]), fuzzy Z-contractions (by Shukla et al. [21]) and Tirado contraction (by Tirado [22]), which are for only one self map. Using this, we establish a unique common fixed point theorem for two self maps satisfying condition (S), which was introduced by Shukla et al. in [21] through weak compatibility. As an applications, we discuss fixed point theorem for Fredholm non-linear integral equation. The article also includes an example, which shows the validity of our results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115211034","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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