Matches in SemOpenAlex for { <https://semopenalex.org/work/W195735520> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W195735520 abstract "We establish new necessary and sufficient optimality conditions for optimization prob- lems. In particular, we establish tractable optimality conditions for the problems of minimizing a weakly convex or concave function subject to standard constraints, such as box constraints, binary constraints, and simplex constraints. Our main theoretical tool for establishing these optimality conditions is abstract convexity. We study optimality conditions for some classes of global minimization problems. References (1)-(3) and (6, 7, 12), etc. study global optimality conditions for the problems with quadratic objective function subject to either box constraints, binary constraints, quadratic constraints, or linear constraints. In the present paper, we follow the approach of references (2, 3, 9, 12, 13), where abstract convexity is used in order to obtain new optimality conditions for global optimization problems. These optimality conditions are expressed in terms of abstract subdifferential (L-subdifferential) and abstract normal cone (L-normal cone). The present paper extends the existing optimality conditions to the necessary and sufficient optimality condition for a general global optimization problem: (P) min x2U f(x), where f :R n !R({+¥},U ‰ dom f." @default.
- W195735520 created "2016-06-24" @default.
- W195735520 creator A5032483261 @default.
- W195735520 date "2008-01-01" @default.
- W195735520 modified "2023-09-25" @default.
- W195735520 title "Global Optimality Conditions for Optimization Problems" @default.
- W195735520 cites W1968060267 @default.
- W195735520 cites W2026514175 @default.
- W195735520 cites W2052044464 @default.
- W195735520 cites W2060136900 @default.
- W195735520 cites W2070798439 @default.
- W195735520 cites W2091480518 @default.
- W195735520 cites W2137493863 @default.
- W195735520 cites W3150183338 @default.
- W195735520 cites W3158532942 @default.
- W195735520 cites W573706636 @default.
- W195735520 cites W58439901 @default.
- W195735520 cites W75157487 @default.
- W195735520 cites W3174618504 @default.
- W195735520 hasPublicationYear "2008" @default.
- W195735520 type Work @default.
- W195735520 sameAs 195735520 @default.
- W195735520 citedByCount "0" @default.
- W195735520 crossrefType "journal-article" @default.
- W195735520 hasAuthorship W195735520A5032483261 @default.
- W195735520 hasConcept C106159729 @default.
- W195735520 hasConcept C112680207 @default.
- W195735520 hasConcept C114614502 @default.
- W195735520 hasConcept C126255220 @default.
- W195735520 hasConcept C129844170 @default.
- W195735520 hasConcept C137836250 @default.
- W195735520 hasConcept C14036430 @default.
- W195735520 hasConcept C147764199 @default.
- W195735520 hasConcept C157972887 @default.
- W195735520 hasConcept C162324750 @default.
- W195735520 hasConcept C200661725 @default.
- W195735520 hasConcept C2524010 @default.
- W195735520 hasConcept C33923547 @default.
- W195735520 hasConcept C62438384 @default.
- W195735520 hasConcept C72134830 @default.
- W195735520 hasConcept C78458016 @default.
- W195735520 hasConcept C86803240 @default.
- W195735520 hasConceptScore W195735520C106159729 @default.
- W195735520 hasConceptScore W195735520C112680207 @default.
- W195735520 hasConceptScore W195735520C114614502 @default.
- W195735520 hasConceptScore W195735520C126255220 @default.
- W195735520 hasConceptScore W195735520C129844170 @default.
- W195735520 hasConceptScore W195735520C137836250 @default.
- W195735520 hasConceptScore W195735520C14036430 @default.
- W195735520 hasConceptScore W195735520C147764199 @default.
- W195735520 hasConceptScore W195735520C157972887 @default.
- W195735520 hasConceptScore W195735520C162324750 @default.
- W195735520 hasConceptScore W195735520C200661725 @default.
- W195735520 hasConceptScore W195735520C2524010 @default.
- W195735520 hasConceptScore W195735520C33923547 @default.
- W195735520 hasConceptScore W195735520C62438384 @default.
- W195735520 hasConceptScore W195735520C72134830 @default.
- W195735520 hasConceptScore W195735520C78458016 @default.
- W195735520 hasConceptScore W195735520C86803240 @default.
- W195735520 hasLocation W1957355201 @default.
- W195735520 hasOpenAccess W195735520 @default.
- W195735520 hasPrimaryLocation W1957355201 @default.
- W195735520 hasRelatedWork W1538942503 @default.
- W195735520 hasRelatedWork W168924204 @default.
- W195735520 hasRelatedWork W2043528791 @default.
- W195735520 hasRelatedWork W2044942272 @default.
- W195735520 hasRelatedWork W2046862746 @default.
- W195735520 hasRelatedWork W2057719826 @default.
- W195735520 hasRelatedWork W2060136900 @default.
- W195735520 hasRelatedWork W2116379513 @default.
- W195735520 hasRelatedWork W2120889791 @default.
- W195735520 hasRelatedWork W2134774409 @default.
- W195735520 hasRelatedWork W2287830717 @default.
- W195735520 hasRelatedWork W2362121611 @default.
- W195735520 hasRelatedWork W2374376606 @default.
- W195735520 hasRelatedWork W2392034095 @default.
- W195735520 hasRelatedWork W2548421223 @default.
- W195735520 hasRelatedWork W2805420591 @default.
- W195735520 hasRelatedWork W2888904995 @default.
- W195735520 hasRelatedWork W3042685644 @default.
- W195735520 hasRelatedWork W3101528767 @default.
- W195735520 hasRelatedWork W1968742153 @default.
- W195735520 isParatext "false" @default.
- W195735520 isRetracted "false" @default.
- W195735520 magId "195735520" @default.
- W195735520 workType "article" @default.