{"title":"直觉Menger赋范空间中连续性的研究","authors":"Debaroti Das, P. K. De","doi":"10.1109/ICCIC.2012.6510218","DOIUrl":null,"url":null,"abstract":"In this paper, attention has been paid to the study of Intuitionistic Menger Normed space and various properties of this space. Our first aim is to redefine the notion of Intuitionistic Menger Normed space which was earlier given by S. Kutukcu, A. Tuna, A. T. Yakut [7]. Secondly, we have studied continuity in this space. Further, continuity and boundedness of linear operators in Intuitionistic Menger normed settings has been discussed according to our new definition.","PeriodicalId":340238,"journal":{"name":"2012 IEEE International Conference on Computational Intelligence and Computing Research","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A study on continuity in Intuitionistic Menger Normed space\",\"authors\":\"Debaroti Das, P. K. De\",\"doi\":\"10.1109/ICCIC.2012.6510218\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, attention has been paid to the study of Intuitionistic Menger Normed space and various properties of this space. Our first aim is to redefine the notion of Intuitionistic Menger Normed space which was earlier given by S. Kutukcu, A. Tuna, A. T. Yakut [7]. Secondly, we have studied continuity in this space. Further, continuity and boundedness of linear operators in Intuitionistic Menger normed settings has been discussed according to our new definition.\",\"PeriodicalId\":340238,\"journal\":{\"name\":\"2012 IEEE International Conference on Computational Intelligence and Computing Research\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 IEEE International Conference on Computational Intelligence and Computing Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIC.2012.6510218\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE International Conference on Computational Intelligence and Computing Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIC.2012.6510218","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文着重研究了直觉主义门格尔赋范空间及其各种性质。我们的第一个目标是重新定义由S. Kutukcu, A. Tuna, A. T. Yakut[7]提出的直觉主义门格尔赋范空间的概念。其次,我们研究了这个空间的连续性。在此基础上,进一步讨论了直觉Menger赋范情况下线性算子的连续性和有界性。
A study on continuity in Intuitionistic Menger Normed space
In this paper, attention has been paid to the study of Intuitionistic Menger Normed space and various properties of this space. Our first aim is to redefine the notion of Intuitionistic Menger Normed space which was earlier given by S. Kutukcu, A. Tuna, A. T. Yakut [7]. Secondly, we have studied continuity in this space. Further, continuity and boundedness of linear operators in Intuitionistic Menger normed settings has been discussed according to our new definition.