Pub Date : 2019-07-22DOI: 10.2478/aupcsm-2019-0009
A. Blaga, K. Baishya, N. Sarkar
Abstract The object of the present paper is to investigate the nature of Ricci solitons on D-homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.
{"title":"Ricci solitons in a generalized weakly (Ricci) symmetric D-homothetically deformed Kenmotsu manifold","authors":"A. Blaga, K. Baishya, N. Sarkar","doi":"10.2478/aupcsm-2019-0009","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0009","url":null,"abstract":"Abstract The object of the present paper is to investigate the nature of Ricci solitons on D-homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"39 1","pages":"123 - 136"},"PeriodicalIF":0.9,"publicationDate":"2019-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90272792","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 : 2019-05-16DOI: 10.2478/aupcsm-2019-0007
B. Kartal
Abstract In the present paper, two theorems of absolute summability have been proved by using the definition of almost increasing sequence.
摘要本文利用几乎递增数列的定义，证明了两个绝对可和定理。
{"title":"New results for almost increasing sequences","authors":"B. Kartal","doi":"10.2478/aupcsm-2019-0007","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0007","url":null,"abstract":"Abstract In the present paper, two theorems of absolute summability have been proved by using the definition of almost increasing sequence.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"1 1","pages":"85 - 91"},"PeriodicalIF":0.9,"publicationDate":"2019-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89419357","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 : 2019-05-13DOI: 10.2478/aupcsm-2019-0006
B. Meftah, A. Souahi
Abstract In this paper we establish some fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense.
{"title":"Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense","authors":"B. Meftah, A. Souahi","doi":"10.2478/aupcsm-2019-0006","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0006","url":null,"abstract":"Abstract In this paper we establish some fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"48 1","pages":"67 - 83"},"PeriodicalIF":0.9,"publicationDate":"2019-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79929485","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 : 2019-05-06DOI: 10.2478/aupcsm-2020-0006
M. Masternak
Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
{"title":"Nearly irreducibility of polynomials and the Newton diagrams","authors":"M. Masternak","doi":"10.2478/aupcsm-2020-0006","DOIUrl":"https://doi.org/10.2478/aupcsm-2020-0006","url":null,"abstract":"\u0000 Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"48 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91002757","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 : 2019-04-15DOI: 10.2478/aupcsm-2021-0004
A. Gąsior, Andrzej Szczepa'nski
Abstract This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.
{"title":"Examples of non connective C*-algebras","authors":"A. Gąsior, Andrzej Szczepa'nski","doi":"10.2478/aupcsm-2021-0004","DOIUrl":"https://doi.org/10.2478/aupcsm-2021-0004","url":null,"abstract":"Abstract This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"65 1","pages":"57 - 61"},"PeriodicalIF":0.9,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83744201","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 : 2019-04-10DOI: 10.2478/aupcsm-2019-0004
Z. Moszner
Abstract In this note the necessary and sufficient condition it would the concomitant of the geometric object was the geometric object too is given.
摘要本文给出了几何对象的伴随物也是几何对象的充要条件。
{"title":"On the geometric concomitants","authors":"Z. Moszner","doi":"10.2478/aupcsm-2019-0004","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0004","url":null,"abstract":"Abstract In this note the necessary and sufficient condition it would the concomitant of the geometric object was the geometric object too is given.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"22 1","pages":"53 - 58"},"PeriodicalIF":0.9,"publicationDate":"2019-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85472884","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 : 2019-04-04DOI: 10.2478/aupcsm-2019-0003
M. Ślosarski
Abstract In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.
{"title":"Multi-invertible maps and their applications","authors":"M. Ślosarski","doi":"10.2478/aupcsm-2019-0003","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0003","url":null,"abstract":"Abstract In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"11 1","pages":"35 - 52"},"PeriodicalIF":0.9,"publicationDate":"2019-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80490024","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 : 2019-03-16DOI: 10.2478/aupcsm-2019-0002
Pietro De Poi, G. Ilardi
Abstract This article presents the theory of focal locus applied to the hyper-surfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.
摘要本文将焦点轨迹理论应用于射影空间中(有限)被线性空间覆盖且切空间沿这些空间为常数的超曲面。
{"title":"On the hypersurfaces contained in their Hessian","authors":"Pietro De Poi, G. Ilardi","doi":"10.2478/aupcsm-2019-0002","DOIUrl":"https://doi.org/10.2478/aupcsm-2019-0002","url":null,"abstract":"Abstract This article presents the theory of focal locus applied to the hyper-surfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"5 1","pages":"21 - 33"},"PeriodicalIF":0.9,"publicationDate":"2019-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76832102","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 : 2018-12-01DOI: 10.2478/aupcsm-2018-0009
A. Zada, M. Yar, Tongxing Li
Abstract In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.
{"title":"Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions","authors":"A. Zada, M. Yar, Tongxing Li","doi":"10.2478/aupcsm-2018-0009","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0009","url":null,"abstract":"Abstract In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"8 11 1","pages":"103 - 125"},"PeriodicalIF":0.9,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90388773","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 : 2018-12-01DOI: 10.2478/aupcsm-2018-0008
O. Ogunsola, I. E. Daniel
Abstract In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) $l_r^1(S)$ and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semi-groups such as Brandt semigroup, and Clifford semigroup. We particularly show the equivalence between pseudo-amenability and character amenability of restricted semigroup algebra on a Clifford semigroup and semigroup algebra on a restricted semigroup. Moreover, we show that when S = M0(G, I)is a Brandt semigroup, pseudo-amenability of l1(Sr) is equivalent to its pseudo-contractibility.
{"title":"Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra","authors":"O. Ogunsola, I. E. Daniel","doi":"10.2478/aupcsm-2018-0008","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0008","url":null,"abstract":"Abstract In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) $l_r^1(S)$ and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semi-groups such as Brandt semigroup, and Clifford semigroup. We particularly show the equivalence between pseudo-amenability and character amenability of restricted semigroup algebra on a Clifford semigroup and semigroup algebra on a restricted semigroup. Moreover, we show that when S = M0(G, I)is a Brandt semigroup, pseudo-amenability of l1(Sr) is equivalent to its pseudo-contractibility.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"15 1","pages":"102 - 89"},"PeriodicalIF":0.9,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84656053","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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