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Constrained Optimization and Image Space Analysis (Lecture Notes in Economics & Mathematical Systems)

โœ Scribed by Franco Giannessi

Publisher
Springer
Year
2008
Tongue
English
Leaves
186
Category
Library
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โœฆ Table of Contents

Cover
Title: Theory of Vector Optimization
Copyright
ยฉ Springor.Ver:ag Berlin Heidc!berg 1989
ISBN 3-540-50541-5
Dedication
Preface
Contents
Chapter 1: Analysis over Cones
1. CONVEX CONES
2. RECESSION CONES
3. CONE CLOSED SETS
4. CONE MONOTONIC FUNCTIONS
5. CONE CONTINUOUS FUNCTIONS
6. CONE CONVEX FUNCTIONS
7. SET-VALUED MAPS
Chapter 2: Efficient Points and Vector Optimization Problems
1. BINARY RELATIONS AND PARTIAL ORDERSGiven
2. EFFICIENT POINTS
3. EXISTENCE OF EFFICIENT POINTS
4. DOMINATION PROPERTY
5. VECTOR OPTIMIZATION PROBLEMS
Chapter 3: Nonsmooth Vector Optimization Problems
1. CONTINGENT DERIVATIVES
2. UNCONSTRAINED PROBLEMS
3. CONSTRAINED PROBLEMS
4. DIFFERENTIABLE CASE
5 .CONVEX CASE
Chapter 4: Scalarization and Stability
1. SEPARATION BY MONOTONIC FUNCTIONS
2. SCALAR REPRESENTATIONS
3. COMPLETENESS OF SCALARIZATION
4. STABILITY
Chapter 5: Duality
1. LAGRANGEAN DUALITY
2. CONJUGATE DUALITY
3. AXIOMATIC DUALITY
4..DUALITY AND ALTERNATIVE
Chapter 6: Structure of Optimal Solution Sets
1. GENERAL CASE
2. LINEAR CASE
3. CONVEX CASE
4 .QUASICONVEX CASE
Comments
References
Index
list of Publications
Back Cover

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