Optimality Conditions for Variational Problems in Incomplete Functional Spaces
نویسندگان
چکیده
This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous functions. Our consists reducing problem (nondynamic) optimization normed space and then applying the results recently obtained latter class by using generalized differentiation. In this way, we derive nonconvex calculus variations with velocity constraints under weakest metric subregularity-type constraint qualification. The developed leads us short simple proof first-order such related broad spaces functions including those $${{\mathcal {C}}}^k$$ as $$k\ge 1$$ .
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2021
ISSN: ['0022-3239', '1573-2878']
DOI: https://doi.org/10.1007/s10957-021-01964-2