Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions

A. Daniilidis and N. Hadjisavvas
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A. Daniilidis: University of the Aegean
N. Hadjisavvas: University of the Aegean

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 3, No 3, 525-536

Abstract: Abstract New concepts of semistrict quasimonotonicity and strict quasimonotonicity for multivalued maps are introduced. It is shown that a locally Lipschitz map is (semi)strictly quasiconvex if and only if its Clarke subdifferential is (semi)strictly quasimonotone. Finally, an existence result for the corresponding variational inequality problem is obtained.

Keywords: Subdifferentials; semistrictly quasiconvex functions; strictly quasiconvex functions (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (11)

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DOI: 10.1023/A:1022693822102

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