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Weak openness and weak continuity in ideal topological spaces 理想拓扑空间中的弱开放和弱连续性
Mathematica Pub Date : 2022-12-15 DOI: 10.24193/mathcluj.2022.2.03
C. Boonpok
{"title":"Weak openness and weak continuity in ideal topological spaces","authors":"C. Boonpok","doi":"10.24193/mathcluj.2022.2.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.03","url":null,"abstract":"Our purpose is to introduce the concepts of weakly *-open functions and weakly *-continuous functions. Moreover, some characterizations of weakly *-continuous functions and theta(*)-continuous functions are investigated. In particular, the relationships between weakly *-continuous functions and theta(*)-continuous functions are established.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47352370","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
Zero-Hopf bifurcation of periodic orbits in the generalized Rössler system 广义Rössler系统中周期轨道的零Hopf分岔
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.13
Ahlem Roubache, E. Hadidi
{"title":"Zero-Hopf bifurcation of periodic orbits in the generalized Rössler system","authors":"Ahlem Roubache, E. Hadidi","doi":"10.24193/mathcluj.2022.1.13","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.13","url":null,"abstract":"We apply a technique of Llibre based on the averaging method to a Rössler-type three-dimensional quadratic system and we prove the existence of a periodic orbit.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45852113","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 common property to generalized contractions and existence of fixed points 广义收缩的一个公共性质和不动点的存在性
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.06
S. Benahmed
{"title":"A common property to generalized contractions and existence of fixed points","authors":"S. Benahmed","doi":"10.24193/mathcluj.2022.1.06","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.06","url":null,"abstract":"The definitions of several types of generalized contractions for an application T from a complete metric space (X,d) in itself are recalled and reviewed. A common property [H] to all these concepts is put in light. We observe that assumption [H] is fulfilled in many cases and we prove that assumption [H] and lower semi-continuity of the function x maps to d(x,T(x)) ensure existence of a fixed point along with a sharp estimate for the distance to the fixed-points set.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47944824","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 connected spaces via m-structures 关于通过m结构的连通空间
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.03
A. Al-Omari, T. Noiri
{"title":"On connected spaces via m-structures","authors":"A. Al-Omari, T. Noiri","doi":"10.24193/mathcluj.2022.1.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.03","url":null,"abstract":"We introduce and investigate m-separated sets and m-connected sets in a topological space (X,tau) with a minimal structure m_X. As a special case, by setting m_X=tau^*, we obtain properties of *-separated sets and *_s-connected sets.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49235635","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 a conjecture of Ayad and Kihel 关于Ayad和Kihel的一个猜想
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.05
Zoulikha Belbargat
{"title":"On a conjecture of Ayad and Kihel","authors":"Zoulikha Belbargat","doi":"10.24193/mathcluj.2022.1.05","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.05","url":null,"abstract":"We prove some cases of the conjecture by Ayad and Kihel about Catalan pseudoprimes and generalize a result by the author.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44211216","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
Least primes which split in imaginary quadratic fields 在虚二次域中分裂的最小素数
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.02
Sakha A. Alkabouss, Boualem Benseba, O. Kihel, Jesse Larone
{"title":"Least primes which split in imaginary quadratic fields","authors":"Sakha A. Alkabouss, Boualem Benseba, O. Kihel, Jesse Larone","doi":"10.24193/mathcluj.2022.1.02","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.02","url":null,"abstract":"We bound the least primes which split in an imaginary quadratic field in terms of its class number.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49285645","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
Some (Lambda,b)-type mappings in topological spaces 拓扑空间中的一些(Lambda,b)类型映射
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.10
Jiarul Hoque, S. Modak
{"title":"Some (Lambda,b)-type mappings in topological spaces","authors":"Jiarul Hoque, S. Modak","doi":"10.24193/mathcluj.2022.1.10","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.10","url":null,"abstract":"We introduce and study (Lambda, b)-continuous, (Lambda, b)-irresolute and quasi-(Lambda, b)-irresolute mappings. Some characterizations and several properties concerning aforesaid mappings are obtained. The authors also introduce (Lambda, b)-compactness and (Lambda, b)-connectedness. It is proved that (Lambda, b)-compactness (respectively (Lambda, b)-connectedness) is preserved under (Lambda, b)-irresolute mappings. The paper also touches the topics frontier points, Dirichlet's function, filter and algebraic structure of some functions.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43917879","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
Coefficient inequalities for subclasses of analytic functions based on quasi-subordination and majorization related with sigmoid functions 基于拟隶属化和与s型函数相关的多数化分析函数子类的系数不等式
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.15
L. Vanitha, C. Ramachandran, G. Murugusundaramoorthy, H. Orhan
{"title":"Coefficient inequalities for subclasses of analytic functions based on quasi-subordination and majorization related with sigmoid functions","authors":"L. Vanitha, C. Ramachandran, G. Murugusundaramoorthy, H. Orhan","doi":"10.24193/mathcluj.2022.1.15","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.15","url":null,"abstract":"We estimate the coefficient bounds for certain subclasses of the starlike and convex functions using quasi-subordination and majorization relating with sigmoid functions.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46871269","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
Finite p-groups which are non-inner nilpotent 非内幂零的有限p群
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.09
Masoumeh Ganjali, A. Erfanian, I. Muchtadi-Alamsyah
{"title":"Finite p-groups which are non-inner nilpotent","authors":"Masoumeh Ganjali, A. Erfanian, I. Muchtadi-Alamsyah","doi":"10.24193/mathcluj.2022.1.09","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.09","url":null,"abstract":"A group G is called a non-inner nilpotent group, whenever it is nilpotent with respect to a non-inner automorphism. In 2018, all finitely generated abelian non-inner nilpotent groups have been classified. Actually, the authors proved that a finitely generated abelian group G is a non-inner nilpotent group, if G is not isomorphic to cyclic groups Z_p_1p_2...p_t and Z, for a positive integer t and distinct primes p_1, p_2,..., p_t. We conjecture that all finite non-abelian p-groups are non-inner nilpotent and we prove this conjecture for finite $p$-groups of nilpotency class 2 or of co-class 2.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47125719","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
Integral inequalities in amalgam spaces 混合空间中的积分不等式
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.12
Suket Kumar
{"title":"Integral inequalities in amalgam spaces","authors":"Suket Kumar","doi":"10.24193/mathcluj.2022.1.12","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.12","url":null,"abstract":"Weighted norm inequalities for the Volterra integral operator with the kernel are characterized in the amalgam space for certain ranges of indices.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69192343","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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