{"title":"关于具有局部 Lipschitz 数据的分数无限多目标优化问题的 $$varepsilon $$ 准高效解决方案","authors":"Thanh-Hung Pham","doi":"10.1007/s11117-024-01046-3","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we investigate optimality conditions and duality for <span>\\(\\varepsilon \\)</span>-quasi efficient solutions of the fractional infinite multiobjective optimization problems with locally Lipschitz data. The obtained results improve or include some recent known ones. Several illustrative examples are also provided.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On $$\\\\varepsilon $$ -quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data\",\"authors\":\"Thanh-Hung Pham\",\"doi\":\"10.1007/s11117-024-01046-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we investigate optimality conditions and duality for <span>\\\\(\\\\varepsilon \\\\)</span>-quasi efficient solutions of the fractional infinite multiobjective optimization problems with locally Lipschitz data. The obtained results improve or include some recent known ones. Several illustrative examples are also provided.</p>\",\"PeriodicalId\":54596,\"journal\":{\"name\":\"Positivity\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Positivity\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11117-024-01046-3\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Positivity","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11117-024-01046-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On $$\varepsilon $$ -quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data
In this paper, we investigate optimality conditions and duality for \(\varepsilon \)-quasi efficient solutions of the fractional infinite multiobjective optimization problems with locally Lipschitz data. The obtained results improve or include some recent known ones. Several illustrative examples are also provided.
期刊介绍:
The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome.
The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.