Global proper efficiency and vector optimization with cone-arcwise connected set-valued maps
Guolin Yu · Numerical Algebra Control and Optimization · 2016
This paper deals withthe characteristics of global proper efficient points and theoptimality conditions of vector optimization problems involvinggeneralized convex set-valued maps. Several equivalent properties ofglobal proper efficient points are proposed. Utilizing cone-directedcontingent derivative, it presents the unified necessary andsufficient optimality conditions for global proper efficient elementin vector optimization problem with cone-arcwise connectedset-valued mapping.