{"title":"Existence and stability of generalized weakly-mixed vector equilibrium problems","authors":"","doi":"10.23952/jnfa.2023.2","DOIUrl":null,"url":null,"abstract":". The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems. We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma. In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classifi-cation.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"26 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems. We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma. In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classifi-cation.
期刊介绍：
Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.
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