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- W4300486530 abstract "This paper investigates some aspects of the variational behaviour of nonsmooth functions, with special emphasis on certain stability phenomena. Relationships linking such properties as sharp minimality, superstability, error bound and sufficiency of first-order optimality conditions are discussed. Their study is performed by employing the steepest descent rate, a rather general tool, which is adequate for a metric space analysis. The positivity of the steepest descent rate is then characterized in terms of $Phi$-subdifferentials. If specialized to a Banach space setting, the resulting characterizations subsume known results on the stability of error bounds." @default.
- W4300486530 created "2022-10-03" @default.
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- W4300486530 date "2014-10-09" @default.
- W4300486530 modified "2023-09-29" @default.
- W4300486530 title "On the variational behaviour of functions with positive steepest descent rate" @default.
- W4300486530 doi "https://doi.org/10.48550/arxiv.1410.2484" @default.
- W4300486530 hasPublicationYear "2014" @default.
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