{"title":"一类广义单调平衡问题解的存在性","authors":"H. Khatibzadeh, Mahnaz Rezaei","doi":"10.29252/maco.1.1.1","DOIUrl":null,"url":null,"abstract":"Blum and Oettli in their seminal paper studied monotone bifunctions and proved the existence of an equilibrium point. In this work, we extend theirmain result by replacing monotone bifunction with a more general bifunction and prove the existence of an equilibrium point.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"ON THE EXISTENCE OF SOLUTIONS OF A GENERALIZED MONOTONE EQUILIBRIUM PROBLEM\",\"authors\":\"H. Khatibzadeh, Mahnaz Rezaei\",\"doi\":\"10.29252/maco.1.1.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Blum and Oettli in their seminal paper studied monotone bifunctions and proved the existence of an equilibrium point. In this work, we extend theirmain result by replacing monotone bifunction with a more general bifunction and prove the existence of an equilibrium point.\",\"PeriodicalId\":360771,\"journal\":{\"name\":\"Mathematical Analysis and Convex Optimization\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Analysis and Convex Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29252/maco.1.1.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Analysis and Convex Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/maco.1.1.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON THE EXISTENCE OF SOLUTIONS OF A GENERALIZED MONOTONE EQUILIBRIUM PROBLEM
Blum and Oettli in their seminal paper studied monotone bifunctions and proved the existence of an equilibrium point. In this work, we extend theirmain result by replacing monotone bifunction with a more general bifunction and prove the existence of an equilibrium point.