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(&omega,c)- PSEUDO ALMOST PERIODIC FUNCTIONS, (&omega,c)- PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS (&，c)-伪概周期函数，(&，c)-伪概自同构函数及其应用
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-05-24 DOI: 10.22190/FUMI200421014K
M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov
{"title":"(&omega,c)- PSEUDO ALMOST PERIODIC FUNCTIONS, (&omega,c)- PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS","authors":"M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov","doi":"10.22190/FUMI200421014K","DOIUrl":"https://doi.org/10.22190/FUMI200421014K","url":null,"abstract":"In this paper, we introduce the classes of $(omega, c)$-pseudo almost periodicfunctions and $(omega, c)$-pseudo almost automorphicfunctions. These collections include $(omega, c)$-pseudo periodicfunctions, pseudo almost periodic functions and their automorphic analogues.We present an application to the abstract semilinear first-order Cauchy inclusions in Banach spaces.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":" 22","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72384349","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 ROUGH $I^*$ AND $I^K$-CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES 赋范线性空间中序列$ i ^*$和$ i ^ k $的粗糙收敛性
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-02-13 DOI: 10.22190/fumi210921038b
A. Banerjee, Anirban Paul
{"title":"ON ROUGH $I^*$ AND $I^K$-CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES","authors":"A. Banerjee, Anirban Paul","doi":"10.22190/fumi210921038b","DOIUrl":"https://doi.org/10.22190/fumi210921038b","url":null,"abstract":"In this paper, we have introduced first the notion of rough $I^*$-convergence in a normed linear space as an extension work of rough $I$-convergence and then rough $I^K$-convergence in more general way. Then we have studied some properties on these two newly introduced ideas. We also examined the relationship between rough $I$-convergence with both of rough $I^*$-convergence and rough $I^K$-convergence.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"28 26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84669096","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
NONLINEAR NEUTRAL CAPUTO-FRACTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO LOTKA-VOLTERRA NEUTRAL MODEL 非线性中立型卡普分数差分方程及其在lotka-volterra中立型模型中的应用
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-02-10 DOI: 10.22190/FUMI2005475M
M. Mesmouli, A. Ardjouni, A. Djoudi
{"title":"NONLINEAR NEUTRAL CAPUTO-FRACTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO LOTKA-VOLTERRA NEUTRAL MODEL","authors":"M. Mesmouli, A. Ardjouni, A. Djoudi","doi":"10.22190/FUMI2005475M","DOIUrl":"https://doi.org/10.22190/FUMI2005475M","url":null,"abstract":"In this paper, we consider a nonlinear neutral fractional difference equations. By applying Krasnoselskii's fixed point theorem, sufficient conditions for the existence of solutions are established, also the uniqueness of solutions is given. As an application of the main theorems, we provide the existence and uniqueness of the discrete fractional Lotka-Volterra model of neutral type. Our main results extend and generalize the results that are obtained in Azabut.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"12 4 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79354305","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
COMPARATIVE STUDY OF MUTATION OPERATORS IN THE GENETIC ALGORITHMS FOR THE K-MEANS PROBLEM k -均值问题遗传算法中变异算子的比较研究
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-02-02 DOI: 10.22190/FUMI2004091L
Ri-Zhi Li, L. Kazakovtsev
{"title":"COMPARATIVE STUDY OF MUTATION OPERATORS IN THE GENETIC ALGORITHMS FOR THE K-MEANS PROBLEM","authors":"Ri-Zhi Li, L. Kazakovtsev","doi":"10.22190/FUMI2004091L","DOIUrl":"https://doi.org/10.22190/FUMI2004091L","url":null,"abstract":"The k-means problem and the algorithm of the same name are the most commonly used clustering model and algorithm. Being a local search optimization method, the k-means algorithm falls to a local minimum of the objective function (sum of squared errors) and depends on the initial solution which is given or selected randomly. This disadvantage of the algorithm can be avoided by combining this algorithm with more sophisticated methods such as the Variable Neighborhood Search, agglomerative or dissociative heuristic approaches, the genetic algorithms, etc. Aiming at the shortcomings of the k-means algorithm and combining the advantages of the k-means algorithm and rvolutionary approack, a genetic clustering algorithm with the cross-mutation operator was designed. The efficiency of the genetic algorithms with the tournament selection, one-point crossover and various mutation operators (without any mutation operator, with the uniform mutation, DBM mutation and new cross-mutation) are compared on the data sets up to 2 millions of data vectors. We used data from the UCI repository and special data set collected during the testing of the highly reliable semiconductor components. In this paper, we do not discuss the comparative efficiency of the genetic algorithms for the k-means problem in comparison with the other (non-genetic) algorithms as well as the comparative adequacy of the k-means clustering model. Here, we focus on the influence of various mutation operators on the efficiency of the genetic algorithms only.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90620374","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
TAUBERIAN THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY OF INTEGRALS 积分可和性的加权平均法的Tauberian定理
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-11-01 DOI: 10.1063/1.5136127
Ibrahim Çanak, Firat Ozsarac
{"title":"TAUBERIAN THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY OF INTEGRALS","authors":"Ibrahim Çanak, Firat Ozsarac","doi":"10.1063/1.5136127","DOIUrl":"https://doi.org/10.1063/1.5136127","url":null,"abstract":"Let $q$ be a positive weight function on $mathbf{R}_{+}:=[0, infty)$ which is integrable in Lebesgue's sense over every finite interval $(0,x)$ for $00$, $Q(0)=0$ and $Q(x) rightarrow infty $ as $x to infty $.Given a real or complex-valued function $f in L^{1}_{loc} (mathbf{R}_{+})$, we define $s(x):=int_{0}^{x}f(t)dt$ and$$tau^{(0)}_q(x):=s(x), tau^{(m)}_q(x):=frac{1}{Q(x)}int_0^x tau^{(m-1)}_q(t) q(t)dt,,, (x>0, m=1,2,...),$$provided that $Q(x)>0$. We say that $int_{0}^{infty}f(x)dx$ is summable to $L$ by the $m$-th iteration of weighted mean method determined by the function $q(x)$, or for short, $(overline{N},q,m)$ integrable to a finite number $L$ if$$lim_{xto infty}tau^{(m)}_q(x)=L.$$In this case, we write $s(x)rightarrow L(overline{N},q,m)$. It is known thatif the limit $lim _{x to infty} s(x)=L$ exists, then $lim _{x to infty} tau^{(m)}_q(x)=L$ also exists. However, the converse of this implicationis not always true. Some suitable conditions together with the existence of the limit $lim _{x to infty} tau^{(m)}_q(x)$, which is so called Tauberian conditions, may imply convergence of $lim _{x to infty} s(x)$. In this paper, one- and two-sided Tauberian conditions in terms of the generating function and its generalizations for $(overline{N},q,m)$ summable integrals of real- or complex-valued functions have been obtained. Some classical type Tauberian theorems given for Ces`{a}ro summability $(C,1)$ and weighted mean method of summability $(overline{N},q)$ have been extended and generalized.  ","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"40 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81476903","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 STAR COLORING OF DEGREE SPLITTING OF COMB PRODUCT GRAPHS 梳状积图度分裂的星形着色
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-05-28 DOI: 10.22190/FUMI2002507S
Ulagammal Subramanian, V. Joseph
{"title":"ON STAR COLORING OF DEGREE SPLITTING OF COMB PRODUCT GRAPHS","authors":"Ulagammal Subramanian, V. Joseph","doi":"10.22190/FUMI2002507S","DOIUrl":"https://doi.org/10.22190/FUMI2002507S","url":null,"abstract":"A star coloring of a graph G is a proper vertex coloring in which every path on four vertices in G is not bicolored. The star chromatic number χs (G) of G is the least number of colors needed to star color G. Let G = (V,E) be a graph with V = S1 [ S2 [ S3 [ . . . [ St [ T where each Si is a set of all vertices of the same degree with at least two elements and T =V (G) − St i=1 Si. The degree splitting graph DS (G) is obtained by adding vertices w1,w2, . . .wt and joining wi to each vertex of Si for 1 i t. The comb product between two graphs G and H, denoted by G ⊲ H, is a graph obtained by taking one copy of G and |V (G)| copies of H and grafting the ith copy of H at the vertex o to the ith vertex of G. In this paper, we give the exact value of star chromatic number of degree splitting of comb product of complete graph with complete graph, complete graph with path, complete graph with cycle, complete graph with star graph, cycle with complete graph, path with complete graph and cycle with path graph.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"19 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73983628","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
FIXED POINT THEOREMS FOR SUBSEQUENTIALLY MULTI-VALUED F_delta -CONTRACTIONS IN METRIC SPACES 度量空间中次多值F_ -缩缩的不动点定理
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-05-28 DOI: 10.22190/FUMI2002379B
S. Beloul, Heddi Kaddouri
{"title":"FIXED POINT THEOREMS FOR SUBSEQUENTIALLY MULTI-VALUED F_delta -CONTRACTIONS IN METRIC SPACES","authors":"S. Beloul, Heddi Kaddouri","doi":"10.22190/FUMI2002379B","DOIUrl":"https://doi.org/10.22190/FUMI2002379B","url":null,"abstract":"The aim of this paper is to prove common fixed point theorems for multivalued contraction of Wordowski type, by using the concept of subsequential continuity in the setting of set valued context contractions with compatibility. We have also given an example and an application to integral inclusions of Fredholm type to support our results.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"84 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88757345","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 D_p^q (∆^+r )-STATISTICAL CONVERGENCE D_p^q(∆^+r)-统计收敛
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-05-28 DOI: 10.22190/FUMI2002405B
Neslihan Boztaş, M. Küçükaslan
{"title":"THE D_p^q (∆^+r )-STATISTICAL CONVERGENCE","authors":"Neslihan Boztaş, M. Küçükaslan","doi":"10.22190/FUMI2002405B","DOIUrl":"https://doi.org/10.22190/FUMI2002405B","url":null,"abstract":"Let p(n) and q(n) be nondecreasing sequence of positive integers such that p(n) < q(n) and limn→∞ q(n) = ∞ holds. For any r ∈ Z^+, we define D_p,q^+r- statistical convergence of ∆^+r x where ∆^+r is r- th difference of the sequence (x_n). The main results in this paper consist in determining sets of sequences χ and χ' of the form [D_ p^q]_0 α satisfying χ ⊂ [D_p^q]_0(∆^+r ) ⊂ χ ' and sets φ and φ' of the form [D_p^q]_α satisfying φ ≤ [D_p^q]_∞(∆^+r ) ≤ φ'  .","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"55 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91378782","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 THE SIGNED MATCHINGS OF GRAPHS 关于图的带符号匹配
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-05-28 DOI: 10.22190/FUMI2002541J
S. Javan, H. Maimani
{"title":"ON THE SIGNED MATCHINGS OF GRAPHS","authors":"S. Javan, H. Maimani","doi":"10.22190/FUMI2002541J","DOIUrl":"https://doi.org/10.22190/FUMI2002541J","url":null,"abstract":"For a graph $G$ and any $vin V(G)$, $E_{G}(v)$ is the set of all edges incident with $v$. A function $f:E(G)rightarrow {-1,1}$ is called a signed matching  of $G$ if  $sum_{ein E(v)}f(e) leq 1$ for every $ {vin V(G)}$. For a signed matching $x$, set $x(E(G))=sum_{ein E(G))}x(e)$. The signed  matching number of $G$, denoted by $beta_1'(G)$, is the maximum $x(E(G))$ where the maximum is taken over all signed matching over $G$. In this paper we obtain the signed matching number of some families of graphs and study the signed matching number of subdivision and edge deletion of edges of graph.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"116 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87697306","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 CLASSES OF CONVEX FUNCTIONS ON TIME SCALES 时间尺度上的几类凸函数
IF 0.4
Facta Universitatis-Series Mathematics and Informatics Pub Date : 2020-04-06 DOI: 10.22190/FUMI2001011B
Fagbemigun Opeyemi Bosede, Adesanmi Alao Mogbademu
{"title":"SOME CLASSES OF CONVEX FUNCTIONS ON TIME SCALES","authors":"Fagbemigun Opeyemi Bosede, Adesanmi Alao Mogbademu","doi":"10.22190/FUMI2001011B","DOIUrl":"https://doi.org/10.22190/FUMI2001011B","url":null,"abstract":"We have introduced diamond $phi_{h-s, mathbb{T}}$ derivative and diamond $phi_{h-s,mathbb{T}}$ integral on an arbitrary time scale. Moreover, various interconnections with the notion of classes of convex functions about these new concepts are also discussed.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"11 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84183718","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: 7
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