Generalized gradients of monotone type

Dodos, P

dc.contributor.author	Dodos, P	en
dc.date.accessioned	2014-03-01T01:20:33Z
dc.date.available	2014-03-01T01:20:33Z
dc.date.issued	2004	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15960
dc.subject	Generalized gradients	en
dc.subject	Operators of type (M)	en
dc.subject	Operators of type (S)+	en
dc.subject	Pseudomonotone operators	en
dc.subject	Quasi-convexity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Functions	en
dc.subject.other	Gradient methods	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Set theory	en
dc.subject.other	Theorem proving	en
dc.subject.other	Topology	en
dc.subject.other	Generalized gradients	en
dc.subject.other	Pseudomonotone operators	en
dc.subject.other	Nonlinear equations	en
dc.title	Generalized gradients of monotone type	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2003.09.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2003.09.007	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	We examine the properties of the subdifferential in the sense of Clarke of certain locally Lipschitz, quasi-convex functions. We prove that, even if they may not possess a pseudomonotone-type subdifferential, if we consider the operator A + partial derivativef, where A is an operator of type (S)(+), then the sum is pseudomonotone. A new type of subdifferential for Lipschitz functions is also presented. We prove some calculus rules and we establish that in the context of reflexive Banach spaces is an operator of type (M). (C) 2003 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2003.09.007	en
dc.identifier.isi	ISI:000188297900003	en
dc.identifier.volume	56	en
dc.identifier.issue	2	en
dc.identifier.spage	201	en
dc.identifier.epage	212	en