S. K. Bhandari, S. Chandok, Bishnupada Jana, Radha Binod Das
{"title":"连通的λ -链集及其存在性结果","authors":"S. K. Bhandari, S. Chandok, Bishnupada Jana, Radha Binod Das","doi":"10.1155/2023/3051602","DOIUrl":null,"url":null,"abstract":"<jats:p>In the setting of <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <mi>ϵ</mi>\n </math>\n </jats:inline-formula>-chainable metric spaces, we introduce <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <mfenced open=\"(\" close=\")\" separators=\"|\">\n <mrow>\n <mi>ϵ</mi>\n <mo>−</mo>\n <mi>ρ</mi>\n <mo>−</mo>\n <mi>σ</mi>\n </mrow>\n </mfenced>\n </math>\n </jats:inline-formula> uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.</jats:p>","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"2023 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Connected ϵ -Chainable Sets and Existence Results\",\"authors\":\"S. K. Bhandari, S. Chandok, Bishnupada Jana, Radha Binod Das\",\"doi\":\"10.1155/2023/3051602\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<jats:p>In the setting of <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\">\\n <mi>ϵ</mi>\\n </math>\\n </jats:inline-formula>-chainable metric spaces, we introduce <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M3\\\">\\n <mfenced open=\\\"(\\\" close=\\\")\\\" separators=\\\"|\\\">\\n <mrow>\\n <mi>ϵ</mi>\\n <mo>−</mo>\\n <mi>ρ</mi>\\n <mo>−</mo>\\n <mi>σ</mi>\\n </mrow>\\n </mfenced>\\n </math>\\n </jats:inline-formula> uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.</jats:p>\",\"PeriodicalId\":301406,\"journal\":{\"name\":\"Int. J. Math. Math. Sci.\",\"volume\":\"2023 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Math. Math. Sci.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/3051602\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Math. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/3051602","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In the setting of -chainable metric spaces, we introduce uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.