{"title":"求解扩展一般二变包含的几种计算方法","authors":"Muhammad Aslam Noor, Khalida Inayat Noor","doi":"10.34198/ejms.13123.133163","DOIUrl":null,"url":null,"abstract":"Some new classes of extended general bivariational inclusions are introduced and analyzed. It is established that the extended general bivariational inclusions are equivalent to the fixed point problems. This equivalence is used to discuss the existence of a solution of the extended general bivariational inequalities. Some new iterative methods for solving bivariational inclusions and related optimization problems are proposed. Convergence analysis of these methods is investigated under suitable conditions. Some special cases are also discussed of the main results as applications of the main results.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Computational Methods for Solving Extended General Bivariational Inclusions\",\"authors\":\"Muhammad Aslam Noor, Khalida Inayat Noor\",\"doi\":\"10.34198/ejms.13123.133163\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some new classes of extended general bivariational inclusions are introduced and analyzed. It is established that the extended general bivariational inclusions are equivalent to the fixed point problems. This equivalence is used to discuss the existence of a solution of the extended general bivariational inequalities. Some new iterative methods for solving bivariational inclusions and related optimization problems are proposed. Convergence analysis of these methods is investigated under suitable conditions. Some special cases are also discussed of the main results as applications of the main results.\",\"PeriodicalId\":482741,\"journal\":{\"name\":\"Earthline Journal of Mathematical Sciences\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earthline Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.34198/ejms.13123.133163\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthline Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.34198/ejms.13123.133163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Computational Methods for Solving Extended General Bivariational Inclusions
Some new classes of extended general bivariational inclusions are introduced and analyzed. It is established that the extended general bivariational inclusions are equivalent to the fixed point problems. This equivalence is used to discuss the existence of a solution of the extended general bivariational inequalities. Some new iterative methods for solving bivariational inclusions and related optimization problems are proposed. Convergence analysis of these methods is investigated under suitable conditions. Some special cases are also discussed of the main results as applications of the main results.
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