{"title":"A new algorithm for solving strongly monotone equilibrium and multivalued variational inequality problems","authors":"","doi":"10.23952/asvao.4.2022.1.05","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.1.05","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124187066","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}
{"title":"The iterative algorithm with inertial and error terms for fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators","authors":"","doi":"10.23952/asvao.3.2021.1.08","DOIUrl":"https://doi.org/10.23952/asvao.3.2021.1.08","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124272614","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}
{"title":"Weak approximate solutions to quasi-variational inequalities: Application to social Nash equilibria","authors":"","doi":"10.23952/asvao.3.2021.2.02","DOIUrl":"https://doi.org/10.23952/asvao.3.2021.2.02","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115850965","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}
{"title":"Strong convergence of modified inertial Halpern simultaneous algorithms for a finite family of demicontractive mappings","authors":"Jingfang Xiao, LU Huang, Yaqin Wang","doi":"10.23952/asvao.2.2020.3.06","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.3.06","url":null,"abstract":". In this paper, we consider modified inertial Halpern simultaneous algorithms for a finite family of demicontractive mappings. We establish some strong convergence theorems under some suitable conditions in the framework of Hilbert spaces. Our results generalize and improve some known results announced recently.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122930450","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}
{"title":"A hybrid iterative algorithm for a split mixed equilibrium problem and a hierarchical fixed point problem","authors":"S. Husain, Nisha Singh","doi":"10.23952/asvao.1.2019.2.05","DOIUrl":"https://doi.org/10.23952/asvao.1.2019.2.05","url":null,"abstract":"In this paper, we suggest and analyze a hybrid algorithm for finding a common solution of a split mixed equilibrium problem and a hierarcchical fixed point problem for a finite family of nonexpansive mappings. We prove the strong convergence of the iterative method under some mild conditions and derive some applications. Finally, we give a numerical example to justify the main results.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116635640","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}
{"title":"Notes on modular projections","authors":"","doi":"10.23952/asvao.4.2022.3.07","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.3.07","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125061891","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}
{"title":"Editorial: A special issue dedicated to Hong-Kun Xu on the occasion of his 60th birthday, Part II","authors":"","doi":"10.23952/asvao.2.2020.3.01","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.3.01","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128142768","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}
{"title":"A shrinking projection algorithm for proximal split feasibility and fixed point problems","authors":"Jinzuo Chen","doi":"10.23952/asvao.2.2020.2.09","DOIUrl":"https://doi.org/10.23952/asvao.2.2020.2.09","url":null,"abstract":". In this paper, we study proximal split feasibility, and fixed point problems. For solving these problems, we introduce a shrinking projection algorithm in the framework of Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converge to a common solution of a proximal split feasibility problem and a fixed point problem of an asymptotically k -strictly pseudocontractive mapping in the intermediate sense.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"391 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115915034","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}
{"title":"Global smooth large solutions to 2D magnetic Bénard systems with mixed partial dissipation","authors":"Yugui Cao, Yinxia Wang","doi":"10.23952/asvao.4.2022.2.05","DOIUrl":"https://doi.org/10.23952/asvao.4.2022.2.05","url":null,"abstract":". This paper focuses on the initial value problem for two-dimensional magnetic B´enard system with the partial dissipation and zero diffusivity. Based on the energy estimates and the tricky analytical skills, we prove that the problem always exist a unique global smooth solution without any smallness restriction on the initial data.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"370 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116539792","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}
{"title":"Byrne’s extended CQ-algorithms in the light of Moreau-Yosida regularization","authors":"","doi":"10.23952/asvao.3.2021.1.03","DOIUrl":"https://doi.org/10.23952/asvao.3.2021.1.03","url":null,"abstract":"","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114943100","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}