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Optimality conditions and solution analysis at infinity for nonsmooth optimization problems
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AI
DOI：10.1007/s10898-026-01590-0.png)
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Abstract
En 中文
In this study, we investigate a nonsmooth and nonconvex optimization problem with an unbounded feasible set. Leveraging recent advancements in variational analysis at infinity, we establish novel necessary and sufficient optimality conditions formulated in terms of the normal cone and limiting subdifferentials at infinity. Moreover, by introducing newly defined sets, we analyze asymptotic conditions that ensure the existence and compactness of the solution set for the given optimization problem. Building upon the obtained results, we further investigate the stability of solutions to optimization problems.
Keywords:
Optimality conditions at infinity
limiting subdifferential
solution existence
compactness
stability
nonsmooth optimization
Journal
J
IF:
1.7
Papers:
86
Citations:
6.9K