Generalized derivatives and generalized convexities

Conference · Fri Dec 30 23:00:00 EST 1994

OSTI ID:36382

Penot, J P; Quang, P H; Sach, P H

We give a survey of the contributions of the speaker and of his co-authors in the use of nonsmooth analysis for the study of generalized convexities such as quasiconvexity, pseudoconvexity, invexity. One line of though corresponds to the use of generalized directional derivatives, as in S. Komlosi. Another track consists in using a subdifferential. This could be done in an axiomatic way, but we use essentially three classical instances; the Clarke subdifferential, the contingent subdifferential and the Frechet subdifferential. For algorithmic purposes, variants of Plastra`s subdifferential can be use.

• OSTI ID: 36382
• Report Number(s): CONF-9408161--
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ALGORITHMS
EFFICIENCY
MATRICES
NUMERICAL SOLUTION
VARIATIONAL METHODS