Generalized Convexity and Optimization

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  • Publisher : Springer Science & Business Media
  • Release : 14 October 2008
  • ISBN : 9783540708766
  • Page : 248 pages
  • Rating : 4.5/5 from 103 voters

Generalized Convexity and Optimization Book PDF summary

The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.

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Generalized Convexity and Optimization

Generalized Convexity and Optimization
  • Author : Alberto Cambini,Laura Martein
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-10-14
  • ISBN : 9783540708766
DOWNLOAD BOOKGeneralized Convexity and Optimization

The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.

Generalized Convexity and Generalized Monotonicity

Generalized Convexity and Generalized Monotonicity
  • Author : Nicolas Hadjisavvas,Juan E. Martinez-Legaz,Jean-Paul Penot
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9783642566455
DOWNLOAD BOOKGeneralized Convexity and Generalized Monotonicity

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

Generalized Convexity and Vector Optimization

Generalized Convexity and Vector Optimization
  • Author : Shashi K. Mishra,Shouyang Wang,Kin Keung Lai
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-12-19
  • ISBN : 9783540856719
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The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimization problems, relationships between vector optimization and variational inequality problems. Nonlinear vector optimization problems arise in several contexts such as in the building and interpretation of economic models; the study of various technolo- cal processes; the development of

Generalized Convexity, Generalized Monotonicity and Applications

Generalized Convexity, Generalized Monotonicity and Applications
  • Author : Andrew Eberhard,Nicolas Hadjisavvas,D.T. Luc
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-06-22
  • ISBN : 9780387236391
DOWNLOAD BOOKGeneralized Convexity, Generalized Monotonicity and Applications

In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics,

Generalized Convexity, Generalized Monotonicity: Recent Results

Generalized Convexity, Generalized Monotonicity: Recent Results
  • Author : Jean-Pierre Crouzeix,Juan Enrique Martinez Legaz,Michel Volle
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • ISBN : 9781461333418
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A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality conditions and duality can be derived for optimization problems involving such functions as well. Over a

Generalized Convexity

Generalized Convexity
  • Author : Sandor Komlosi,Tamas Rapcsak,Siegfried Schaible
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9783642468025
DOWNLOAD BOOKGeneralized Convexity

Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.

Handbook of Generalized Convexity and Generalized Monotonicity

Handbook of Generalized Convexity and Generalized Monotonicity
  • Author : Nicolas Hadjisavvas,Sándor Komlósi,Siegfried S. Schaible
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-01-16
  • ISBN : 9780387233932
DOWNLOAD BOOKHandbook of Generalized Convexity and Generalized Monotonicity

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for

Generalized Convexity and Related Topics

Generalized Convexity and Related Topics
  • Author : Igor V. Konnov,Dinh The Luc,Alexander M. Rubinov
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-11-22
  • ISBN : 9783540370079
DOWNLOAD BOOKGeneralized Convexity and Related Topics

The book contains invited papers by well-known experts on a wide range of topics (economics, variational analysis, probability etc.) closely related to convexity and generalized convexity, and refereed contributions of specialists from the world on current research on generalized convexity and applications, in particular, to optimization, economics and operations research.