Rudyanova T. Limit analysis of optimization problems with non-scalar criteria

Plant of a research - vector optimization problems each compinent of the mathematical description of which (vector map, set of admissible solution) depend on small parameter. The purpose of work - to give a formalism for construct of limit problem, to obtain the sufficient condition of existance of these problems, to establish their structure, topological and variational properties. Methods of research: nonlinear functional analysis, convenx analysis, theory of multycriterion optimization was used. For a wide class of such problems a unique formalism of the homogenized process is proposed. The concept of the variational V-convergence is taken as a mathematical basis of such formalism. The sphere of use is theory of vector optimization problems.