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Title Handbook of generalized convexity and generalized monotonicity / edited by Nicolas Hadjisavvas, Sándor Komlósi, Siegfried Schaible
Published New York : Springer, [2005]
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Description 1 online resource (xx, 672 pages) : illustrations
Series Nonconvex optimization and its applications ; v. 76
Nonconvex optimization and its applications ; v. 76
Contents Introduction to Convex and Quasiconvex Analysis -- Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case -- Continuity and Differentiability of Quasiconvex Functions -- Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization -- Generalized Convexity in Vector Optimization -- Generalized Convex Duality and Its Economic Applications -- Abstract Convexity -- Fractional programming -- Generalized Monotone Maps -- Generalized Convexity and Generalized Derivatives -- Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis -- Pseudomonotone Complementarity Problems and Variational Inequalities -- Generalized Monotone Equilibrium Problems and Variational Inequalities -- Uses of Generalized Convexity and Monotonicity in Economics
Summary "The Handbook offers a systematic and thorough exposition of the theory and applications of the various aspects of generalized convexity and generalized monotonicity. It is aimed at the non-expert, for whom it provides a detailed introduction, as well as at the expert who seeks to learn about the latest developments and references in his research area."--Jacket
Bibliography Includes bibliographical references and index
Subject Convex functions.
Monotonic functions.
Form Electronic book
Author Hadjisavvas, Nicolas, 1953-
Komlósi, S. (Sándor), 1947-
Schaible, Siegfried.
LC no. 2005040512
ISBN 0387232559 (acid-free paper)
0387233938 (ebook)
9780387232553 (acid-free paper)
9780387233932 (ebook)