Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.03
C. Boonpok
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.
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.13
Ahlem Roubache, E. Hadidi
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.
将基于平均法的Llibre技术应用于Rössler-type三维二次系统，证明了周期轨道的存在性。
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.06
S. Benahmed
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.
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.03
A. Al-Omari, T. Noiri
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.
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.05
Zoulikha Belbargat
We prove some cases of the conjecture by Ayad and Kihel about Catalan pseudoprimes and generalize a result by the author.
我们证明了Ayad和Kihel关于Catalan伪素数猜想的一些情况，并推广了作者的一个结果。
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.02
Sakha A. Alkabouss, Boualem Benseba, O. Kihel, Jesse Larone
We bound the least primes which split in an imaginary quadratic field in terms of its class number.
我们根据虚数二次域中分裂的最小素数的类数来约束它。
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.10
Jiarul Hoque, S. Modak
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.
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.15
L. Vanitha, C. Ramachandran, G. Murugusundaramoorthy, H. Orhan
We estimate the coefficient bounds for certain subclasses of the starlike and convex functions using quasi-subordination and majorization relating with sigmoid functions.
我们利用拟隶属化和与s型函数相关的多数化方法估计了星形函数和凸函数的某些子类的系数界。
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.09
Masoumeh Ganjali, A. Erfanian, I. Muchtadi-Alamsyah
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.
{"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}
Pub Date : 2022-04-15DOI: 10.24193/mathcluj.2022.1.12
Suket Kumar
Weighted norm inequalities for the Volterra integral operator with the kernel are characterized in the amalgam space for certain ranges of indices.
在混合空间中对一定范围的指标刻画了带有核的Volterra积分算子的加权范数不等式。
{"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}
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