Improvement sets and vector optimization

Nonconvex separation theorems and some applications in vector optimization

Christiane Gerth, Petra Weidner · Journal of Optimization Theory and Applications · 1990 · 395 citations

Numerical Analysis, Nonconvex Separation Theorems, Engineering +4

A Unified Approach and Optimality Conditions for Approximate Solutions of Vector Optimization Problems

C. Gutiérrez, Bienvenido Jiménez, Vicente Novo · SIAM Journal on Optimization · 2006 · 99 citations · Full text

Numerical Analysis, Mathematical Programming, Engineering +16

Topical and sub-topical functions, downward sets and abstract convexity

A. M. Rubinov, Ivan Singer · Optimization · 2001 · 81 citations

Mathematical Programming, Engineering, Generalized Function +10

Vector Optimization Problems via Improvement Sets

Maurizio Chicco, F. Mignanego, Lucia Pusillo et al. · Journal of Optimization Theory and Applications · 2011 · 79 citations

Engineering, Vector Optimization Problems, Optimization Problem +3

Scalarization and Nonlinear Scalar Duality for Vector Optimization with Preferences that are not necessarily a Pre-order Relation

A. M. Rubinov, Rafail N. Gasimov · Journal of Global Optimization · 2004 · 75 citations

Vector Optimization, Engineering, Machine Learning +8