Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE EQUIVALENCE, VIA RELAXATION{PENALIZATION, BETWEEN VECTOR GENERALIZED SYSTEMS

C. ANTONI, F. GIANNESSI

pp. 567-588

Abstract

A vector generalized system is considered, and a condition is given under which a relaxation of the domain and a penalization of the vector function do not change the set of solutions of the system. Applications are made to Vector Optimization and to Vector Variational Inequalities in a discrete space.