A new approach to strong duality for composite vector optimization problems

Autor: Nguyen Nang Dinh, Juan Parra, María J. Cánovas, Dang H. Long

Publikováno v: Optimization. 70:1637-1672

This paper generalizes and unifies different recent results as well as provides a new methodology concerning vector optimization problems involving composite mappings in locally convex Hausdorff to...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::00a377c62fbdb36785771b1fdb99fd73
https://doi.org/10.1080/02331934.2020.1745796

Duality for constrained robust sum optimization problems

Autor: Michel Volle, Nguyen Nang Dinh, Dang H. Long, Miguel A. Goberna

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)
Mathematical Programming
Mathematical Programming, Springer Verlag, 2021, 189 (1-2), pp.271-297. ⟨10.1007/s10107-020-01494-1⟩

Given an infinite family of extended real-valued functions fi, i∈I, and a family H of nonempty finite subsets of I, the H-partial robust sum of fi, i∈I, is the supremum, for J∈H, of the finite sums ∑j∈Jfj. These infinite sums arise in a nat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8f5bf3f3d6e76c3e94236a4afe2fcd9
https://hdl.handle.net/10045/115191

New Farkas-Type Results for Vector-Valued Functions: A Non-abstract Approach

Autor: Miguel A. Goberna, Marco A. López Cerdá, Dang H. Long, Nguyen Nang Dinh

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

This paper provides new Farkas-type results characterizing the inclusion of a given set, called contained set, into a second given set, called container set, both of them are subsets of some locally convex space, called decision space. The contained

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcc691240b29d8a66cfe85c0bcab6824
http://hdl.handle.net/10045/81528