Abstract:
In this paper we consider unitar concepts for some optimality and
efficiency or approximate solutions in scalar optimization and vectorial
optimization respectively. In this cases some necessary and/or sufficient
conditions for these approximate solutions in the multiobjective case are
derived via scalarization and an alternative theorem. Thus are generalized
and refined some corresponding results in multiobjective optimization.
Key Words: Multiobjective programming, optimization, approximate
solution.
2000 Mathematics Subject Classification: Primary: 90C29,
Secondary: 90C30, 49M37.
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