Convergence of approximate solutions and values in parametric vector optimization. (English) Zbl 0989.65066

Loridan, Pierre; Morgan, Jacqueline

Giannessi, Franco (ed.), Vector variational inequalities and vector equilibria. Mathematical theories. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 38, 335-350 (2000).

The paper deals with the introduction of a new concept of approximate values and solutions for vector optimization problems. Then, under the conditions of minimal character, convergence results involving the above-mentioned concepts are presented. The paper has a cognitive character and is addressed to researches working in the area of vector optimization.
For the entire collection see [Zbl 0952.00009].

Reviewer: Stefan Jendo (Warszawa)

MSC:

65K10	Numerical optimization and variational techniques
49M37	Numerical methods based on nonlinear programming
90C26	Nonconvex programming, global optimization
49J40	Variational inequalities

Keywords:

approximate solutions; nonconvex programming; variational techniques; vector optimization; convergence