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Generalized Convexity and Related Topics (Paperback, 2006 ed.)
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Generalized Convexity and Related Topics (Paperback, 2006 ed.)
Series: Lecture Notes in Economics and Mathematical Systems, 583
Expected to ship within 10 - 15 working days
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In mathematics generalization is one of the main activities of
researchers. It opens up new theoretical horizons and broadens the
?elds of applications. Intensive study of generalized convex
objects began about three decades ago when the theory of convex
analysis nearly reached its perfect stage of devel- ment with the
pioneering contributions of Fenchel, Moreau, Rockafellar and
others. The involvement of a number of scholars in the study of
generalized convex functions and generalized monotone operators in
recent years is due to the quest for more general techniques that
are able to describe and treat models of the real world in which
convexity and monotonicity are relaxed. Ideas and methods of
generalized convexity are now within reach not only in mathematics,
but also in economics, engineering, mechanics, ?nance and other
applied sciences. This volume of referred papers, carefully
selected from the contributions delivered at the 8th International
Symposium on Generalized Convexity and Monotonicity (Varese, 4-8
July, 2005), o?ers a global picture of current trends of research
in generalized convexity and generalized monotonicity. It begins
withthreeinvitedlecturesbyKonnov,LevinandPardalosonnumericalvar-
tionalanalysis,mathematicaleconomicsandinvexity,respectively.Thencome
twenty four full length papers on new achievements in both the
theory of the ?eld and its applications. The diapason of the topics
tackled in these cont- butions is very large. It encompasses, in
particular, variational inequalities, equilibrium problems, game
theory, optimization, control, numerical me- ods in solving
multiobjective optimization problems, consumer preferences,
discrete convexity and many others.
General
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