Recession maps and applications

Abstract

This paper is devoted to the study of recession maps of set-valued maps in infinite dimensional spaces. Properties and calculus rules of recession maps are provided. As an application, a general closed image theorem is established in a simple way. Some aspects of vector optimization such as the domination property, stability are considered. Vector minimax problems and saddlepoint results are obtained without compactness assumptions

Keywords:

• Recession map
• vector optimization
• minimax problem
• saddlepoint

^†This paper was written when the author was at the Departamento de Matematicas, CIEA del IPN, Mexico D.F.

^†This paper was written when the author was at the Departamento de Matematicas, CIEA del IPN, Mexico D.F.

Notes

^†This paper was written when the author was at the Departamento de Matematicas, CIEA del IPN, Mexico D.F.