Goberna, Miguel A., Todorov, Maxim I. Recent advances in multiobjective convex semi-infinite optimization Pure and Applied Functional Analysis. 2023, 8(4): 1055-1079 URI: http://hdl.handle.net/10045/141445 DOI: ISSN: 2189-3756 (Print) Abstract: This paper reviews the existing literature on multiobjective (or vector) semi-infinite optimization problems, which are defined by finitely many convex objective functions of finitely many variables whose feasible sets are described by infinitely many convex constraints. The paper shows several applications of this type of optimization problems and presents a state-of-the-art review of its methods and theoretical developments (in particular, optimality, duality, and stability). Keywords:Semi-infinite optimization, Multiobjective convex optimization, Optimality, Duality, Stability Yokohama Publishers info:eu-repo/semantics/article