Conditions for Global Minimum Through Abstract Convexity

Conditions for Global Minimum Through Abstract Convexity
Author: E. V. Sharikov
Publisher:
Total Pages: 244
Release: 2008
Genre: Functional analysis
ISBN:
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"The theory of abstract convexity generalizes ideas of convex analysis by using the notion of global supports and the global definition of subdifferential. In order to apply this theory to optimization, we need to extend subdifferential calculus and separation properties into the area of abstract convexity." --Abstract.


Conditions for Global Minimum Through Abstract Convexity
Language: en
Pages: 244

Conditions for Global Minimum Through Abstract Convexity

Authors: E. V. Sharikov
Categories: Functional analysis
Type: BOOK - Published: 2008 - Publisher:

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"The theory of abstract convexity generalizes ideas of convex analysis by using the notion of global supports and the global definition of subdifferential. In o
Condition for Global Minimum Through Abstract Convexity
Language: en
Pages: 124

Condition for Global Minimum Through Abstract Convexity

Authors: Evgeny Sharikov
Categories:
Type: BOOK - Published: 2009-11 - Publisher: LAP Lambert Academic Publishing

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Subdifferential calculus and separation theorems play a crucial role for applications of classical convex analysis to global optimization. More precisely, they
Abstract Convexity and Global Optimization
Language: en
Pages: 506

Abstract Convexity and Global Optimization

Authors: Alexander M. Rubinov
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its mod
Abstract Convexity and Global Optimization
Language: en
Pages: 516

Abstract Convexity and Global Optimization

Authors: Alexander M. Rubinov
Categories: Mathematics
Type: BOOK - Published: 2000-05-31 - Publisher: Springer Science & Business Media

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This book consists of two parts. Firstly, the main notions of abstract convexity and their applications in the study of some classes of functions and sets are p
Generalized Convexity, Generalized Monotonicity, Optimality Conditions, and Duality in Scaler and Vector Optimization
Language: en
Pages: 416

Generalized Convexity, Generalized Monotonicity, Optimality Conditions, and Duality in Scaler and Vector Optimization

Authors: Alberto Cambini
Categories: Convex functions
Type: BOOK - Published: 2003 - Publisher:

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The aim of this volume is to strengthen the interest in generalized convexity, generalized monotonicity and related areas and to stimulate new research in these