A Unified Approach and Optimality Conditions for Approximate Solutions of Vector Optimization Problems
César Gutiérrez, Bienvenido Jiménez, Vicente Novo · SIAM Journal on Optimization · 2006
This paper deals with approximate (ε‐efficient) solutions of vector optimization problems. We introduce a new ε‐efficiency concept which extends and unifies different approximate solution notions introduced in the literature. We obtain necessary and sufficient conditions via nonlinear scalarization, which allow us to study this new class of approximate solutions in a general framework, since any convexity hypothesis is required. Several examples are proposed to show the concepts introduced and the results attained.