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Generalized Convexity and Generalized Monotonicity: "Proceedings Of The 6Th International Symposium On Generalized Convexity/Monotonicity, Samos, September 1999": 502 - Brossura
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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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Contenuti
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 L3p.- Normal Cones to Sublevel Sets: An Axiomatic Approach. Applications in Quasiconvexity and Pseudoconvexity.- Multiobjective Programming with ?-convex Functions.- Rufián-Lizana, Pascual Ruiz-Canales Vector Invex N-set Functions and Minmax Programming.- On the Supremum in Quadratic Fractional Programming.- First and Second Order Characterizations of a Class of Pseudoconcave Vector Functions.- New Invexity-Type Conditions in Constrained Optimization.- Stochastic s-(increasing) Convexity.- Fixed Point Theorems, Coincidence Theorems and Variational Inequalities.- Representation of a Polynomial Function as a Difference of Convex Polynomials, with an Application.- Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems.- Duality for Fractional Min-max Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions.- Generalized Convexity for Unbounded Sets: The Enlarged Space.- A Note on Minty Variational Inequalities and Generalized Monotonicity.- On Vector Equilibrium and Vector Variational Inequality Problems.- Stochastic Orders Generated by Generalized Convex Functions.- Separation Theorems for Convex Sets and Convex Functions with Invariance Properties.- Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations.- Higher-order Monotone Functions and Probability Theory.- Convexity and Decomposability in Multivalued Analysis.- Scalar Characterization of Generalized Quasiconvex Functions.- Optimality and Wolfe Duality for Multiobjective Programming Problems Involving?-set Functions.- Vector Stochastic Optimization Problems.- On Suprema of Abstract Convex and Quasi-convex Hulls.- Specific Numerical Methods for Solving Some Special Max-min Programming Problems Involving Generalized Convex Functions.
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Generalized Convexity And Generalized Monotonicity: Proceedings Of The 6Th International Symposium On Generalized Convexity/Monotonicity, Samos, September 1999 by Juan-Enrique Martinez-Legaz, Nicolas Hadjisavvas, Jean-Paul Penot, 9783540418061, Springer, 2001, Paperback
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Generalized Convexity and Generalized Monotonicity : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity
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Generalized Convexity and Generalized Monotonicity : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999
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Generalized Convexity and Generalized Monotonicity : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity
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Generalized Convexity and Generalized Monotonicity (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2001
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Paperback. Condizione: 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. Codice articolo 9783540418061
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Generalized Convexity And Generalized Monotonicity. Proceedings Of The 6Th International Symposium On Generalized Convexity/Monotonicity, Samos, September 1999.
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Berlin, Springer, 2001
ISBN 10: 3540418067
ISBN 13: 9783540418061
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Softcover/Paperback. Condizione: Gut. 410 Seiten. Laminiertes ehem. Bibliotheksexemplar mit Rückensignatur und Stempeln. Gut erhalten. 9783540418061 Sprache: Englisch Gewicht in Gramm: 1200. Codice articolo 95297
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Generalized Convexity and Generalized Monotonicity
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Springer Berlin Heidelberg Apr 2001, 2001
ISBN 10: 3540418067
ISBN 13: 9783540418061
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Taschenbuch. Condizione: 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. Codice articolo 9783540418061
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Generalized Convexity and Generalized Monotonicity
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Condizione: 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 . Codice articolo 4889454
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Generalized Convexity and Generalized Monotonicity
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