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Vector-valued variational principles. (English) Zbl 1030.49003
In this paper the authors introduce a new notion of lower semi-continuity called order lower semi-continuity, and study its relationship with other lower semi-continuity concepts. The main result of the paper is a Deville-Godefroy-Zizler type variational principle for order lower semi-continuous vector-valued functions.
MSC:
49J40Variational methods including variational inequalities
90C29Multi-objective programming; goal programming
49J53Set-valued and variational analysis
49J45Optimal control problems involving semicontinuity and convergence; relaxation