The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces. It defines I-limit and I-cluster points as a sequence in these spaces. Afterward, it examines some of their basic properties. Lastly, the paper discusses whether phenomena should be further investigated.
{"title":"Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces","authors":"Aykut Or, Gökay Karabacak","doi":"10.5937/matmor2301113o","DOIUrl":"https://doi.org/10.5937/matmor2301113o","url":null,"abstract":"The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces. It defines I-limit and I-cluster points as a sequence in these spaces. Afterward, it examines some of their basic properties. Lastly, the paper discusses whether phenomena should be further investigated.","PeriodicalId":32415,"journal":{"name":"Mathematica Moravica","volume":"286 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135734084","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}
In this paper, we have proved common fixed point theorems using Hardy and Rogers type contraction condition in complex-valued b-metric spaces The results of the paper extend the results proved in S. Ali [1].
{"title":"Fixed point theorems in complex valued b-metric spaces","authors":"Dinanath Barman, Krishnadhan Sarkar, Kalishankar Tiwary","doi":"10.5937/matmor2301085b","DOIUrl":"https://doi.org/10.5937/matmor2301085b","url":null,"abstract":"In this paper, we have proved common fixed point theorems using Hardy and Rogers type contraction condition in complex-valued b-metric spaces The results of the paper extend the results proved in S. Ali [1].","PeriodicalId":32415,"journal":{"name":"Mathematica Moravica","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135734090","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}
In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using the notion of k-ellipse on a metric space. For this purpose, we are inspired by the Caristi type mapping, Kannan type contraction, Chatterjea type contraction and Ćirić type contraction. After that, we give some existence and uniqueness theorems of a fixed k-ellipse. We also support our obtained results with illustrative examples. Finally, we present a new application to the S-Shaped Rectified Linear Activation Unit (SReLU) to show the importance of our theoretical results.
{"title":"New fixed figure results with the notion of k-ellipse","authors":"Nihal Tacs, Hülya Aytimur, cSaban Guvencc","doi":"10.5937/matmor2301037a","DOIUrl":"https://doi.org/10.5937/matmor2301037a","url":null,"abstract":"In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using the notion of k-ellipse on a metric space. For this purpose, we are inspired by the Caristi type mapping, Kannan type contraction, Chatterjea type contraction and Ćirić type contraction. After that, we give some existence and uniqueness theorems of a fixed k-ellipse. We also support our obtained results with illustrative examples. Finally, we present a new application to the S-Shaped Rectified Linear Activation Unit (SReLU) to show the importance of our theoretical results.","PeriodicalId":32415,"journal":{"name":"Mathematica Moravica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44665668","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：