Generalized Convexity, Generalized Monotonicity and Applications [electronic resource] : Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity / edited by Andrew Eberhard, Nicolas Hadjisavvas, Dinh The Luc.

Contributor(s): Eberhard, Andrew [editor.] | Hadjisavvas, Nicolas [editor.] | Luc, Dinh The [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Nonconvex Optimization and Its Applications: 77Publisher: Boston, MA : Springer US, 2005Description: X, 350 p. 6 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387236391Subject(s): Mathematics | Game theory | Mathematical optimization | Calculus of variations | Operations research | Management science | Mathematics | Operations Research, Management Science | Optimization | Calculus of Variations and Optimal Control; Optimization | Game Theory, Economics, Social and Behav. SciencesAdditional physical formats: Printed edition:: No titleDDC classification: 519.6 LOC classification: QA402-402.37T57.6-57.97Online resources: Click here to access online
Contents:
Invited Papers -- Algebraic Dynamics of Certain Gamma Function Values -- (Generalized) Convexity and Discrete Optimization -- Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions -- Monotonicity in the Framework of Generalized Convexity -- Contributed Papers -- On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequalities Involving Co-Coercive Operators -- A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities -- Duality in Multiobjective Optimization Problems with Set Constraints -- Duality in Fractional Programming Problems with Set Constraints -- On the Pseudoconvexity of the Sum of Two Linear Fractional Functions -- Bonnesen-Type Inequalities and Applications -- Characterizing Invex and Related Properties -- Minty Variational Inequality and Optimization: Scalar and Vector Case -- Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems -- Second Order Subdifferentials Constructed Using Integral Convolutions Smoothing -- Applying Global Optimization to a Problem in Short-Term Hydrothermal Scheduling -- ?-Optimality for Nonsmooth Programming on a Hilbert Space -- Identification of Hidden Convex Minimization Problems -- On Vector Quasi-Saddle Points of Set-Valued Maps -- New Generalized Invexity for Duality in Multiobjective Programming Problems Involving N-Set Functions -- Equilibrium Prices and Quasiconvex Duality.
In: Springer eBooksSummary: This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities, and its applications to concrete problems such as finding equilibrium prices in mathematical economics, or hydrothermal scheduling. Audience This volume is suitable for faculty, graduate students, and researchers in mathematical programming, operations research, convex analysis, nonsmooth analysis, game theory and mathematical economics.
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Invited Papers -- Algebraic Dynamics of Certain Gamma Function Values -- (Generalized) Convexity and Discrete Optimization -- Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions -- Monotonicity in the Framework of Generalized Convexity -- Contributed Papers -- On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequalities Involving Co-Coercive Operators -- A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities -- Duality in Multiobjective Optimization Problems with Set Constraints -- Duality in Fractional Programming Problems with Set Constraints -- On the Pseudoconvexity of the Sum of Two Linear Fractional Functions -- Bonnesen-Type Inequalities and Applications -- Characterizing Invex and Related Properties -- Minty Variational Inequality and Optimization: Scalar and Vector Case -- Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems -- Second Order Subdifferentials Constructed Using Integral Convolutions Smoothing -- Applying Global Optimization to a Problem in Short-Term Hydrothermal Scheduling -- ?-Optimality for Nonsmooth Programming on a Hilbert Space -- Identification of Hidden Convex Minimization Problems -- On Vector Quasi-Saddle Points of Set-Valued Maps -- New Generalized Invexity for Duality in Multiobjective Programming Problems Involving N-Set Functions -- Equilibrium Prices and Quasiconvex Duality.

This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities, and its applications to concrete problems such as finding equilibrium prices in mathematical economics, or hydrothermal scheduling. Audience This volume is suitable for faculty, graduate students, and researchers in mathematical programming, operations research, convex analysis, nonsmooth analysis, game theory and mathematical economics.

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