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Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica最新文献

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Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces 对偶Banach空间凸集上非扩张映射半群的不动点性质
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2018-12-01 DOI: 10.2478/aupcsm-2018-0007
A. Lau, Y. Zhang
{"title":"Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces","authors":"A. Lau, Y. Zhang","doi":"10.2478/aupcsm-2018-0007","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0007","url":null,"abstract":"Abstract It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach space as weak* continuous and norm nonexpansive mappings. Our investigation in the paper centers around this problem. Our main results rely on the well-known Ky Fan’s inequality for convex functions.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"14 1","pages":"67 - 87"},"PeriodicalIF":0.9,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81931212","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: 5
On asymptotically periodic-like motions in flows 关于流动中渐近周期性运动
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2018-12-01 DOI: 10.2478/aupcsm-2018-0005
K. Gryszka
{"title":"On asymptotically periodic-like motions in flows","authors":"K. Gryszka","doi":"10.2478/aupcsm-2018-0005","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0005","url":null,"abstract":"Abstract We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, positive asymptotic periodicity and G-asymptotic periodicity. We determine which implications between these notions hold and which do not. We also show how these notions are related to Lyapunov stability.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"5 1","pages":"45 - 57"},"PeriodicalIF":0.9,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73206213","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
Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator 涉及Ruscheweyh型q-差分算子的复阶bi - bazileviv函数
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2018-12-01 DOI: 10.2478/aupcsm-2018-0001
G. Murugusundaramoorthy, S. Bulut
{"title":"Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator","authors":"G. Murugusundaramoorthy, S. Bulut","doi":"10.2478/aupcsm-2018-0001","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0001","url":null,"abstract":"Abstract In this paper, we define a new subclass of bi-univalent functions involving q-difference operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"102 1","pages":"15 - 5"},"PeriodicalIF":0.9,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89152436","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
Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in ℙ2 广义概共线子格式的理想的重现和Waldschmidt常数
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2018-07-11 DOI: 10.2478/aupcsm-2018-0006
Hassan Haghighi, M. Mosakhani, Mohammad Zaman Fashami
{"title":"Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in ℙ2","authors":"Hassan Haghighi, M. Mosakhani, Mohammad Zaman Fashami","doi":"10.2478/aupcsm-2018-0006","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0006","url":null,"abstract":"Abstract Let Zn = p0 + p1 + ··· + pn be a configuration of points in ℙ2, where all points pi except p0 lie on a line, and let I(Zn) be its corresponding homogeneous ideal in 𝕂 [ℙ2]. The resurgence and the Waldschmidt constant of I(Zn) in [5] have been computed. In this note, we compute these two invariants for the defining ideal of a fat point subscheme Zn,c = cp0 + p1 +··· + pn, i.e. the point p0 is considered with multiplicity c. Our strategy is similar to [5].","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"53 1","pages":"59 - 65"},"PeriodicalIF":0.9,"publicationDate":"2018-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84762685","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: 3
Jensen-type geometric shapes 詹森型几何形状
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2018-04-10 DOI: 10.2478/aupcsm-2020-0002
P. Pasteczka
{"title":"Jensen-type geometric shapes","authors":"P. Pasteczka","doi":"10.2478/aupcsm-2020-0002","DOIUrl":"https://doi.org/10.2478/aupcsm-2020-0002","url":null,"abstract":"\u0000 We present both necessary and sufficient conditions for a convex closed shape such that for every convex function the average integral over the shape does not exceed the average integral over its boundary.\u0000 It is proved that this inequality holds for n-dimensional parallelotopes, n-dimensional balls, and convex polytopes having the inscribed sphere (tangent to all its facets) with the centre in the centre of mass of its boundary.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"7 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2018-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89782487","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: 8
*-g-frames in tensor products of Hilbert C*-modules Hilbert C*模张量积中的*-g坐标系
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2017-12-03 DOI: 10.2478/aupcsm-2018-0002
M. Rossafi, Samir Kabbaj
{"title":"*-g-frames in tensor products of Hilbert C*-modules","authors":"M. Rossafi, Samir Kabbaj","doi":"10.2478/aupcsm-2018-0002","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0002","url":null,"abstract":"Abstract In this paper, we study ∗-g-frames in tensor products of Hilbert C∗-modules. We show that a tensor product of two ∗-g-frames is a ∗-g-frame, and we get some result.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"13 1","pages":"17 - 25"},"PeriodicalIF":0.9,"publicationDate":"2017-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74004040","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: 24
On type-2 m-topological spaces 在2型m拓扑空间上
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2017-12-01 DOI: 10.1515/aupcsm-2017-0007
Sk. Nazmul
{"title":"On type-2 m-topological spaces","authors":"Sk. Nazmul","doi":"10.1515/aupcsm-2017-0007","DOIUrl":"https://doi.org/10.1515/aupcsm-2017-0007","url":null,"abstract":"Abstract In the present paper, we define a notion of an m2-topological space by introducing a count of openness of a multiset (mset in short) and study the properties of m2-subspaces, mgp-maps etc. Decomposition theorems involving m-topologies and m2-topologies are established. The behaviour of the functional image and functional preimage of an m2-topologies, the continuity of the identity mapping and a constant mapping in m2-topologies are also examined.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"3 1","pages":"77 - 93"},"PeriodicalIF":0.9,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88766625","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
Translation equation and the Jordan non-measurable continuous functions 平移方程与Jordan不可测连续函数
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2017-12-01 DOI: 10.1515/aupcsm-2017-0009
Z. Moszner
{"title":"Translation equation and the Jordan non-measurable continuous functions","authors":"Z. Moszner","doi":"10.1515/aupcsm-2017-0009","DOIUrl":"https://doi.org/10.1515/aupcsm-2017-0009","url":null,"abstract":"Abstract A connection between the continuous translation equation and the Jordan non-measurable continuous functions is given.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"18 1","pages":"117 - 120"},"PeriodicalIF":0.9,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78954914","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
Likeℕ’s – a point of view on natural numbers 比如，关于自然数的一种观点
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2017-12-01 DOI: 10.1515/aupcsm-2017-0008
Edward Tutaj
{"title":"Likeℕ’s – a point of view on natural numbers","authors":"Edward Tutaj","doi":"10.1515/aupcsm-2017-0008","DOIUrl":"https://doi.org/10.1515/aupcsm-2017-0008","url":null,"abstract":"Abstract We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. ℕ with addition and ℕ* = ℕ {0} with multiplication. It appears that there are many different likens, which makes it possible to look on usual natural numbers from a more general point of view. In particular, we show that ℕ and ℕ* are related to some functionals on the space of likens. A similar idea is known for a long time as the Beurling generalized numbers. Our approach may be considered as a little more natural and more general, since it admits the finitely generated likens.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"115 1","pages":"115 - 95"},"PeriodicalIF":0.9,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74899160","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
Intersect a quartic to extract its roots 与四次曲线相交以提取其根
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2017-11-28 DOI: 10.1515/aupcsm-2017-0006
R. Kulkarni
{"title":"Intersect a quartic to extract its roots","authors":"R. Kulkarni","doi":"10.1515/aupcsm-2017-0006","DOIUrl":"https://doi.org/10.1515/aupcsm-2017-0006","url":null,"abstract":"Abstract In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the quartic and the quadratic equations. Elimination of the root term from the two equations leads to an expression in the two unknowns of quadratic polynomial. In addition, we introduce another expression in one unknown, which leads to determination of the two unknowns and subsequently the roots of quartic polynomial.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"10 1","pages":"73 - 76"},"PeriodicalIF":0.9,"publicationDate":"2017-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75586412","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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