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Publications De L'institut Mathematique最新文献

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A NOTE ON SUNS IN CONVEX METRIC SPACES 凸度量空间中太阳的注释
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1001139N
T. D. Narang, R. Sangeeta
{"title":"A NOTE ON SUNS IN CONVEX METRIC SPACES","authors":"T. D. Narang, R. Sangeeta","doi":"10.2298/PIM1001139N","DOIUrl":"https://doi.org/10.2298/PIM1001139N","url":null,"abstract":"We prove that in a convex metric space (��, �� ), an existence set �� having a lower semi continuous metric projection is a �� -sun and in a complete �� -space, a Chebyshev set �� with a continuous metric projection is a �� -sun as well as almost convex.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124802590","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
The holomorphic contractibility of two generalized Teichmuller spaces 两个广义Teichmuller空间的全纯可缩性
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0475109E
C. Earle
{"title":"The holomorphic contractibility of two generalized Teichmuller spaces","authors":"C. Earle","doi":"10.2298/PIM0475109E","DOIUrl":"https://doi.org/10.2298/PIM0475109E","url":null,"abstract":"We show by simple explicit constructions that the Teichmuller spaces To(Δ) and To(Δ {0}) are holomorphically contractible. We also call attention to a useful criterion for a map between domains in complex Banach spaces to be holomorphic.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125006381","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
The stability of a generalized affine functional equation in fuzzy normed spaces 模糊赋范空间中广义仿射泛函方程的稳定性
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1614163M
M. Mursaleen, J. K. Ansari
{"title":"The stability of a generalized affine functional equation in fuzzy normed spaces","authors":"M. Mursaleen, J. K. Ansari","doi":"10.2298/PIM1614163M","DOIUrl":"https://doi.org/10.2298/PIM1614163M","url":null,"abstract":"In modelling applied problems only partial informations may be known (or) there may be a degree of uncertainty in the parameters used in the model or some measurements may be imprecise. Due to such features, we are tempted to consider the study of functional equations in the fuzzy settings. For the last 40 years, the fuzzy theory has become a very active area of research and a lot of development has been made in the theory of fuzzy sets [1] to find the fuzzy analogues of the classical set theory. This branch finds a wide range of applications in the field of science and engineering. Katsaras [2] introduced an idea of fuzzy norm on a linear space in 1984. In [3], the authors study the stability problems in fuzzy Banach spaces. In [4], Felbin introduced an alternative definition of a fuzzy norm on a linear topological structure of a fuzzy normed linear spaces. Papers [5, 6, 7] are good survey papers, in which results and history on stability are given. In 1940, Ulam [8] raised a question concerning the stability of group homomorphism as follows: Let G1 be a group and G2 a metric group with the metric","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129473164","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
On the location of the zeros of certain polynomials 关于某些多项式的零点的位置
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/pim1613287b
S. Bairagi, V. K. Jain, T. K. Mishra, L. Saha
{"title":"On the location of the zeros of certain polynomials","authors":"S. Bairagi, V. K. Jain, T. K. Mishra, L. Saha","doi":"10.2298/pim1613287b","DOIUrl":"https://doi.org/10.2298/pim1613287b","url":null,"abstract":"We extend Aziz and Mohammad’s result that the zeros, of a polynomial P(z) =Σn \u0000 j=0 ajzj, taj ≥ aj−1 > 0, j=2,3,...,n for certain t(>0), with moduli greater \u0000 than t(n−1)/n are simple, to polynomials with complex coefficients. Then we \u0000 improve their result that the polynomial P(z), of degree n, with complex \u0000 coefficients, does not vanish in the disc |z−aeiα| 0, max |z|=a \u0000 |P(z)| = |P(aeiα)|, for r < a < 2,r being the greatest positive root of the \u0000 equation xn−2xn−1+1=0, and finally obtained an upper bound, for moduli of all \u0000 zeros of a polynomial,(better, in many cases, than those obtainable from many \u0000 other known results).","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128513995","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
ON SOME EXTENSIONS OF KARAMATA'S THEORY AND THEIR APPLICATIONS 论卡拉玛塔理论的一些扩展及其应用
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0694059B
V. V. Buldygin, O. Klesov, J. Steinebach
{"title":"ON SOME EXTENSIONS OF KARAMATA'S THEORY AND THEIR APPLICATIONS","authors":"V. V. Buldygin, O. Klesov, J. Steinebach","doi":"10.2298/PIM0694059B","DOIUrl":"https://doi.org/10.2298/PIM0694059B","url":null,"abstract":"This is a survey of the authors' results on the properties and appli- cations of some subclasses of (so-called) O-regularly varying (ORV) functions. In particular, factorization and uniform convergence theorems for Avaku- movic-Karamata functions with non-degenerate groups of regular points are presented together with the properties of various other extensions of regularly varying functions. A discussion of equivalent characterizations of such classes of functions is also included as well as that of their (asymptotic) inverse func- tions. Applications are given concerning the asymptotic behavior of solutions of certain stochastic differential equations.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128727130","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: 10
A note on curvature-like invariants of some connections on locally decomposable spaces 局部可分解空间上某些连接的类曲率不变量的注记
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/pim1308219p
N. Pušić
{"title":"A note on curvature-like invariants of some connections on locally decomposable spaces","authors":"N. Pušić","doi":"10.2298/pim1308219p","DOIUrl":"https://doi.org/10.2298/pim1308219p","url":null,"abstract":"We consider an n-dimensional locally product space with p and q dimensional \u0000 components (p + q = n) with parallel structure tensor, which means that such \u0000 a space is locally decomposable. If we introduce a conformal transformation \u0000 on such a space AB, it will have an invariant curvature-type tensor, the \u0000 so-called product conformal curvature tensor (PC-tensor). Here we consider \u0000 two connections, (F, g)-holomorphically semisymmetric one and \u0000 F-holomorphically semisymmetric one, both with gradient generators. They \u0000 both have curvature-like invariants and they are both equal to PC-tensor.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"20 7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127062655","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
Completeness theorem for continuous functions and product class-topologies 连续函数的完备性定理与积类拓扑
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM160525001D
Radosav Djordjevic, V. Ristić, N. Ikodinovic
{"title":"Completeness theorem for continuous functions and product class-topologies","authors":"Radosav Djordjevic, V. Ristić, N. Ikodinovic","doi":"10.2298/PIM160525001D","DOIUrl":"https://doi.org/10.2298/PIM160525001D","url":null,"abstract":"We introduce an infinitary logic LA(On,Cn)n(ω which is an extension of LA \u0000 obtained by adding new quantifiers On and Cn, for every n(ω. The \u0000 corresponding models are topological class-spaces. An axiomatization is given \u0000 and the completeness theorem is proved.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127048664","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
Variants of Karamata’s iteration theorem 卡拉玛塔迭代定理的变体
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0694241S
E. Seneta
{"title":"Variants of Karamata’s iteration theorem","authors":"E. Seneta","doi":"10.2298/PIM0694241S","DOIUrl":"https://doi.org/10.2298/PIM0694241S","url":null,"abstract":"Karamata's Iteration Theorem is used to refine the asymptotic behavior of iterates of a function, under a more restrictive assumption than Karamata's, but still involving regular variation. A second result gives a nec- essary and sufficient integral condition for convergence of a series of iterates. Historical background to the idea of regularly varying sequence precedes a short concluding section on attribution of a probabilistic result.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"Suppl 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130028260","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
Maximal Tychonoff spaces and normal isolator covers 最大的Tychonoff空间和正常的隔离罩
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM1613217B
C. K. Basu, S. Mandal
{"title":"Maximal Tychonoff spaces and normal isolator covers","authors":"C. K. Basu, S. Mandal","doi":"10.2298/PIM1613217B","DOIUrl":"https://doi.org/10.2298/PIM1613217B","url":null,"abstract":"We introduce a new kind of cover called a normal isolator cover to \u0000 characterize maximal Tychonoff spaces. Such a study is used to provide an \u0000 alternative proof of an interesting result of Feng and Garcia-Ferreira in \u0000 1999 that every maximal Tychonoff space is extremally disconnected. Maximal \u0000 tychonoffness of subspaces is also discussed.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130125131","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
Boolean algebras in algebraic topology 代数拓扑中的布尔代数
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0796135P
Z. Petrovic
{"title":"Boolean algebras in algebraic topology","authors":"Z. Petrovic","doi":"10.2298/PIM0796135P","DOIUrl":"https://doi.org/10.2298/PIM0796135P","url":null,"abstract":"The appearance of the complete Heyting algebra in the realm of Algebraic Topology is the main topic of the paper.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130567420","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
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