Generalized convexity and related topics : Igor V. Konnov, Dinh The Luc, Alexander M. Rubinov, editors

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. 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 Contains papers written by experts on a range of topics (economics, variational analysis, probability and others) closely related to convexity and generalized convexity, as well as contributions of specialists on the research on generalized convexity and applications, in particular, to optimization, economics and operations research