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Generalized Convexity and Related Topics

By: Konnov, Igor V [author.].
Contributor(s): Luc, Dinh The [author.] | Rubinov, Alexander M [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Economics and Mathematical Systems: 583Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: IX, 472 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540370079.Subject(s): Operations research | Decision making | Mathematics | Game theory | Mathematical optimization | Economics | Management science | Economic theory | Economics | Economics, general | Mathematics, general | Operation Research/Decision Theory | Economic Theory/Quantitative Economics/Mathematical Methods | Optimization | Game Theory, Economics, Social and Behav. SciencesDDC classification: 330 Online resources: Click here to access online
Contents:
Invited Papers -- Combined Relaxation Methods for Generalized Monotone Variational Inequalities -- Abstract Convexity and the Monge-Kantorovich Duality -- Optimality Conditions and Duality for Multiobjective Programming Involving (C, ?, ?, d) type-I Functions -- Contributed Papers -- Partitionable Variational Inequalities with Multi-valued Mappings -- Almost Convex Functions: Conjugacy and Duality -- Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant -- An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem -- A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems -- Mathematical Programming with (?, ?)-invexity -- Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation -- Equilibrium Problems Via the Palais-Smale Condition -- Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities -- Higher Order Properly Efficient Points in Vector Optimization -- Higher-order Pseudoconvex Functions -- Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity -- Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization -- On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives -- Local and Global Consumer Preferences -- Optimality Conditions for Convex Vector Functions by Mollified Derivatives -- On Arcwise Connected Convex Multifunctions -- A Sequential Method for a Class of Bicriteria Problems -- Decomposition of the Measure in the Integral Representation of Piecewise Convex Curves -- Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators -- Monotonicity and Dualities -- On Variational-like Inequalities with Generalized Monotone Mappings -- Almost Pure Nash Equilibria in Convex Noncooperative Games -- A Spectral Approach to Solve Box-constrained Multi-objective Optimization Problems.
In: Springer eBooks
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Invited Papers -- Combined Relaxation Methods for Generalized Monotone Variational Inequalities -- Abstract Convexity and the Monge-Kantorovich Duality -- Optimality Conditions and Duality for Multiobjective Programming Involving (C, ?, ?, d) type-I Functions -- Contributed Papers -- Partitionable Variational Inequalities with Multi-valued Mappings -- Almost Convex Functions: Conjugacy and Duality -- Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant -- An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem -- A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems -- Mathematical Programming with (?, ?)-invexity -- Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation -- Equilibrium Problems Via the Palais-Smale Condition -- Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities -- Higher Order Properly Efficient Points in Vector Optimization -- Higher-order Pseudoconvex Functions -- Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity -- Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization -- On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives -- Local and Global Consumer Preferences -- Optimality Conditions for Convex Vector Functions by Mollified Derivatives -- On Arcwise Connected Convex Multifunctions -- A Sequential Method for a Class of Bicriteria Problems -- Decomposition of the Measure in the Integral Representation of Piecewise Convex Curves -- Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators -- Monotonicity and Dualities -- On Variational-like Inequalities with Generalized Monotone Mappings -- Almost Pure Nash Equilibria in Convex Noncooperative Games -- A Spectral Approach to Solve Box-constrained Multi-objective Optimization Problems.

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