Generalized Convexity and Related Topics

✍ Scribed by Professor Igor V. Konnov, Professor Dinh The Luc, Professor Alexander M. Rubinov (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2006
• Tongue: English
• Leaves: 464
• Series: Lecture Notes in Economics and Mathematical Systems 583
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-IX
Front Matter....Pages 1-1
Combined Relaxation Methods for Generalized Monotone Variational Inequalities....Pages 3-31
Abstract Convexity and the Monge-Kantorovich Duality....Pages 33-72
Optimality Conditions and Duality for Multiobjective Programming Involving ( C, α, ρ, d ) type-I Functions....Pages 73-87
Front Matter....Pages 89-89
Partitionable Variational Inequalities with Multi-valued Mappings....Pages 91-100
Almost Convex Functions: Conjugacy and Duality....Pages 101-114
Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant....Pages 115-131
An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem....Pages 133-148
A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems....Pages 149-166
Mathematical Programming with ( Φ, ρ )-invexity....Pages 167-176
Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation....Pages 177-188
Equilibrium Problems Via the Palais-Smale Condition....Pages 189-207
Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities....Pages 209-226
Higher Order Properly Efficient Points in Vector Optimization....Pages 227-245
Higher-order Pseudoconvex Functions....Pages 247-264
Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity....Pages 265-278
Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization....Pages 279-295
On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives....Pages 297-314
Local and Global Consumer Preferences....Pages 315-325
Optimality Conditions for Convex Vector Functions by Mollified Derivatives....Pages 327-335
On Arcwise Connected Convex Multifunctions....Pages 337-345
Front Matter....Pages 89-89
A Sequential Method for a Class of Bicriteria Problems....Pages 347-358
Decomposition of the Measure in the Integral Representation of Piecewise Convex Curves....Pages 359-377
Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators....Pages 379-397
Monotonicity and Dualities....Pages 399-414
On Variational-like Inequalities with Generalized Monotone Mappings....Pages 415-431
Almost Pure Nash Equilibria in Convex Noncooperative Games....Pages 433-447
A Spectral Approach to Solve Box-constrained Multi-objective Optimization Problems....Pages 449-469
Back Matter....Pages 471-472

✦ Subjects

Operations Research/Decision Theory; Game Theory/Mathematical Methods; Optimization; Game Theory, Economics, Social and Behav. Sciences