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Generalized Convexity and Generalized Monotonicity : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity - Softcover

 
9783540418061: Generalized Convexity and Generalized Monotonicity : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity

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partialdifferentialequations ,variationalinequal­ ities,complementarity problemsand more generally, equilibriumproblems. The classes ofgeneralizedmonotonemappingsare more or lessrelatedto the classes ofgeneralizedfunctionsvia differentiation or subdifferentiation procedures.They are also link edvia severalothermeans.

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International Symposium on Generalized Convexity/Monotonicity 1999 sa; Hadjisavvas, Nicolas; Martinez-Legaz, Juan-Enrique; Penot, Jean-Paul
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ISBN 10: 3540418067 ISBN 13: 9783540418061
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Published by Springer, 2001
ISBN 10: 3540418067 ISBN 13: 9783540418061
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Nicolas Hadjisavvas
ISBN 10: 3540418067 ISBN 13: 9783540418061
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Paperback. Condition: new. Paperback. Various generalizations of convex functions have been introduced in areas such as mathematical programming, economics, management science, engineering, stochastics and applied sciences, for example. Such functions preserve one or more properties of convex functions and give rise to models which are more adaptable to real-world situations than convex models. Similarly, generalizations of monotone maps have been studied recently. A growing literature of this interdisciplinary field has appeared, and a large number of international meetings are entirely devoted or include clusters on generalized convexity and generalized monotonicity. The present book contains a selection of refereed papers presented at the 6th International Symposium on Generalized Convexity/Monotonicity, and aims to review the latest developments in the field. This volume contains a selection of refereed papers presented at the 6th International Symposium on Generalized Convexity/Monotonicity, and aims to review the latest developments in this interdisciplinary field. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540418061

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Hadjisavvas, Nicolas, Juan Enrique Martinez-Legaz and Jean-Paul Penot:
Published by Berlin, Springer, 2001
ISBN 10: 3540418067 ISBN 13: 9783540418061
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Softcover/Paperback. Condition: Gut. 410 Seiten. Laminiertes ehem. Bibliotheksexemplar mit Rückensignatur und Stempeln. Gut erhalten. 9783540418061 Sprache: Englisch Gewicht in Gramm: 1200. Seller Inventory # 95297

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Published by Springer, 2001
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Nicolas Hadjisavvas
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A famous saying (due toHerriot)definescultureas 'what remainswhen everythingisforgotten '. One couldparaphrase thisdefinitionin statingthat generalizedconvexity iswhat remainswhen convexity has been dropped . Of course, oneexpectsthatsome convexityfeaturesremain.For functions, convexity ofepigraphs(what is above thegraph) is a simplebut strong assumption.It leads tobeautifulpropertiesand to a field initselfcalled convex analysis. In several models, convexity is not presentandintroducing genuine convexityassumptionswouldnotberealistic. A simple extensionof thenotionof convexity consists in requiringthatthe sublevel sets ofthe functionsare convex (recall thata sublevel set offunction a is theportionof thesourcespaceon which thefunctiontakesvalues below a certainlevel).Its first use is usuallyattributed to deFinetti,in 1949. This propertydefinesthe class ofquasiconvexfunctions, which is much larger thanthe class of convex functions: a non decreasingor nonincreasingone variablefunctionis quasiconvex ,as well asanyone-variable functionwhich is nonincreasingon someinterval(-00,a] or(-00,a) and nondecreasingon its complement.Many otherclasses ofgeneralizedconvexfunctionshave been introduced ,often fortheneeds ofvariousapplications: algorithms ,economics, engineering ,management science,multicriteria optimization ,optimalcontrol, statistics .Thus,theyplay animportantrole in severalappliedsciences . A monotonemappingF from aHilbertspace to itself is a mappingfor which the angle between F(x) - F(y) and x- y isacutefor anyx, y. It is well-known thatthegradientof a differentiable convexfunctionis monotone.The class of monotonemappings(and theclass ofmultivaluedmonotoneoperators) has remarkableproperties.This class has beengeneralizedin various direc tions,withapplicationsto partialdifferentialequations ,variationalinequal ities,complementarity problemsand more generally, equilibriumproblems. The classes ofgeneralizedmonotonemappingsare more or lessrelatedto the classes ofgeneralizedfunctionsvia differentiation or subdifferentiation procedures.They are also link edvia severalothermeans. 428 pp. Englisch. Seller Inventory # 9783540418061

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Published by Springer, 2001
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Hadjisavvas, Nicolas|Martinez-Legaz, Juan E.|Penot, Jean-Paul
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Invited Papers.- Minimization of the Sum of Several Linear Fractional Functions.- Discrete Higher Order Convex Functions and their Applications.- Cuts and Semidefinite Relaxations for Nonconvex Quadratic Problems.- Contributed Papers.- The Steiner Ratio of . Seller Inventory # 4889454

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Hadjisavvas Nicolas Martinez-Legaz Juan E. Penot Jean-Paul
Published by Springer, 2001
ISBN 10: 3540418067 ISBN 13: 9783540418061
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