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Ikonion Journal of Mathematics最新文献

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Bimultipliers of R-algebroids R-gebroids 的双乘法器
Ikonion Journal of Mathematics Pub Date : 2024-03-02 DOI: 10.54286/ikjm.1433913
Gizem Kahriman
{"title":"Bimultipliers of R-algebroids","authors":"Gizem Kahriman","doi":"10.54286/ikjm.1433913","DOIUrl":"https://doi.org/10.54286/ikjm.1433913","url":null,"abstract":"Group action is determined bythe automorphism group and algebra action is defined by the multiplication algebra. In the study we generalize the multiplication algebra \u0000by defining multipliers of an R-algebroid M. Firstly, the set of bimultipliers on an R-algebroid is introduced, it is denoted by Bim(M), then it is proved that this set is an R-algebroid, \u0000it is called multiplication R-algebroid. Using this Bim(M), for an R-algebroid morphism A → Bim(M) it is shown that this morphism gives an R-algebroid action. Then we examine \u0000some of the properties associated with this action.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"48 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140082394","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
Trans-Sasakian Manifolds with Pseudo Finsler Metric 具有伪芬斯勒公设的跨萨萨克斯流形
Ikonion Journal of Mathematics Pub Date : 2024-02-19 DOI: 10.54286/ikjm.1378951
A. F. Sağlamer, Hilal Fi̇dan
{"title":"Trans-Sasakian Manifolds with Pseudo Finsler Metric","authors":"A. F. Sağlamer, Hilal Fi̇dan","doi":"10.54286/ikjm.1378951","DOIUrl":"https://doi.org/10.54286/ikjm.1378951","url":null,"abstract":"We introduce some properties and results for trans-Sasakian structures on indefinite Finsler manifolds in this paper. These structures are established on the 〖(M^0)〗^h and 〖(M^0)〗^v vector subbundles where M is an (2n+1) dimensional C^∞ manifold, M^0 is a non-empty open submanifold of TM. F^* is the fundamental Finsler function and〖 F〗^(2n+1)= (M,M^0,F^*) is an indefinite Finsler manifold. Furthermore, we give some formulas for α-Sasakian and β-Kenmotsu Finsler manifolds with pseudo-Finsler metric.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"13 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140450654","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 Taxicab Circle Inverses of Lines 关于出租车圆的线性倒数
Ikonion Journal of Mathematics Pub Date : 2024-02-19 DOI: 10.54286/ikjm.1373938
Seyit Ali Aydin, Ayşe Bayar
{"title":"On Taxicab Circle Inverses of Lines","authors":"Seyit Ali Aydin, Ayşe Bayar","doi":"10.54286/ikjm.1373938","DOIUrl":"https://doi.org/10.54286/ikjm.1373938","url":null,"abstract":"This study conducts a thorough analytical examination of line inverses with respect to taxicab circle inversion within the analytical plane. It presents the distinctive properties exhibited by taxicab circle inverses of lines, highlighting their difference from Euclidean circle inverses.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"30 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140450939","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
Application of Bipolar Near Soft Sets 双极近软集的应用
Ikonion Journal of Mathematics Pub Date : 2024-02-05 DOI: 10.54286/ikjm.1325526
H. Taşbozan
{"title":"Application of Bipolar Near Soft Sets","authors":"H. Taşbozan","doi":"10.54286/ikjm.1325526","DOIUrl":"https://doi.org/10.54286/ikjm.1325526","url":null,"abstract":"The bipolar soft set is supplied with two soft sets, one positive and the other negative. Whichever feature is stronger can be selected to find the object we want. In this paper, the notion of bipolar near soft set, which near set features are added to a bipolar soft set, and its fundamental properties are introduced. In this new set, its features can be restricted and the basic properties and topology of the set can be examined accordingly. With the soft set close to bipolar, it will be easier for us to decide to find the most suitable object in the set of objects. This new idea is illustrated with real-life examples. With the help of the bipolar near soft set, we make it easy to choose the one closest to the criteria we want in decision making. Among the many given objects, we can find the one with the properties we want by using the ones with similar properties.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"10 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139802563","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
Application of Bipolar Near Soft Sets 双极近软集的应用
Ikonion Journal of Mathematics Pub Date : 2024-02-05 DOI: 10.54286/ikjm.1325526
H. Taşbozan
{"title":"Application of Bipolar Near Soft Sets","authors":"H. Taşbozan","doi":"10.54286/ikjm.1325526","DOIUrl":"https://doi.org/10.54286/ikjm.1325526","url":null,"abstract":"The bipolar soft set is supplied with two soft sets, one positive and the other negative. Whichever feature is stronger can be selected to find the object we want. In this paper, the notion of bipolar near soft set, which near set features are added to a bipolar soft set, and its fundamental properties are introduced. In this new set, its features can be restricted and the basic properties and topology of the set can be examined accordingly. With the soft set close to bipolar, it will be easier for us to decide to find the most suitable object in the set of objects. This new idea is illustrated with real-life examples. With the help of the bipolar near soft set, we make it easy to choose the one closest to the criteria we want in decision making. Among the many given objects, we can find the one with the properties we want by using the ones with similar properties.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"222 5-6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139862387","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
The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method 用一种新的混合方法求解符合时间-分数Noyes场模型
Ikonion Journal of Mathematics Pub Date : 2023-10-24 DOI: 10.54286/ikjm.1335660
Bedir Kaan ÖNER, Halil ANAÇ
{"title":"The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method","authors":"Bedir Kaan ÖNER, Halil ANAÇ","doi":"10.54286/ikjm.1335660","DOIUrl":"https://doi.org/10.54286/ikjm.1335660","url":null,"abstract":"The application of the conformable fractional hybrid method is employed for the purpose of analyzing the conformable fractional Noyes Field model. The Maple software is utilized for the purpose of generating graphical representations of the numerical solutions that effectively address this particular model. The efficacy and consistency of the proposed technique have been demonstrated through the utilization of numerical simulations.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135322028","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
Approximate Solutions for A Fractional Shallow Water Flow Model 分数阶浅水流动模型的近似解
Ikonion Journal of Mathematics Pub Date : 2023-09-15 DOI: 10.54286/ikjm.1256664
Ali KURT, Hadi REZAZADEH, Mehmet ŞENOL, Orkun TAŞBOZAN, Ali KURT
{"title":"Approximate Solutions for A Fractional Shallow Water Flow Model","authors":"Ali KURT, Hadi REZAZADEH, Mehmet ŞENOL, Orkun TAŞBOZAN, Ali KURT","doi":"10.54286/ikjm.1256664","DOIUrl":"https://doi.org/10.54286/ikjm.1256664","url":null,"abstract":"This paper presents the solutions of fractional Drinfeld-Sokolov-Wilson (DSW) equations
 that occur in shallow water flow models using the residual power series method.
 The fractional derivatives and integrals are considered in the conformable sense. In
 addition, surface plots of the solutions are given. The solutions and results show that
 the present method is very efficient and effective due to the lack of a need for complex
 calculations and that the method also has a wide range of practicability in the resolution
 of partial differential fractional equations.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135397076","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 Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method 非线性Fredholm积分方程的数据依赖性及三步迭代解法
Ikonion Journal of Mathematics Pub Date : 2023-09-15 DOI: 10.54286/ikjm.1303219
Lale CONA, Kadir ŞENGÜL
{"title":"On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method","authors":"Lale CONA, Kadir ŞENGÜL","doi":"10.54286/ikjm.1303219","DOIUrl":"https://doi.org/10.54286/ikjm.1303219","url":null,"abstract":"In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135396400","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
A New Soft Set Operation: Complementary Soft Binary Piecewise Star (*) Operation 一种新的软集运算:互补软二进制分段星形运算
Ikonion Journal of Mathematics Pub Date : 2023-09-05 DOI: 10.54286/ikjm.1304566
A. Sezgi̇n, Ahmet Mücahit Demi̇rci̇
{"title":"A New Soft Set Operation: Complementary Soft Binary Piecewise Star (*) Operation","authors":"A. Sezgi̇n, Ahmet Mücahit Demi̇rci̇","doi":"10.54286/ikjm.1304566","DOIUrl":"https://doi.org/10.54286/ikjm.1304566","url":null,"abstract":"Soft set theory, introduced by Molodtsov, is as an important mathematical tool to deal with uncertainty and it has been conveyed to many fields both as theoretical and application aspect. Since its inception, different kinds of soft set operations are defined and used in various types. In this paper, we define a new kind of soft set operation called, complementary soft binary piecewise star operation and we investigate its basic algebraic properties. Moreover, it is aimed to contribute to the soft set literature by obtaining the relationships between this new soft set operation and some other types of soft set operations by examing the distribution of complementary soft binary piecewise star operation over extended soft set operations, complementary extended soft set operations, soft binary piecewise operations, complementary soft binary piecewise operations and restricted soft set operations","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121285851","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
A Note on the Maximum Circle Inverses of Lines in the Maximum Plane 关于最大平面上直线的最大圆逆的注记
Ikonion Journal of Mathematics Pub Date : 2023-08-21 DOI: 10.54286/ikjm.1319223
S. Ekmekçi
{"title":"A Note on the Maximum Circle Inverses of Lines in the Maximum Plane","authors":"S. Ekmekçi","doi":"10.54286/ikjm.1319223","DOIUrl":"https://doi.org/10.54286/ikjm.1319223","url":null,"abstract":"In this study, the images of lines under inversion in maximum circle are analytically examined. It is observed that the image of line not passing through the center of the inversion is not a maximum circle, but the closed curve containing at least one parabola arc. Some properties regarding the images of lines are introduced. Then, the images of line segments are examined according to the positions of their end points . In addition, it is seen that the inversion in maximum circle transforms the pencil of parallel lines (except line passing the center) to the set of the closed curves passing the center of inversion. Also, the images of the concurrent lines under inversion with respect to a maximum circle are considered and the results are presented.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126596163","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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