Handbook of generalized convexity and generalized monotonicity
- 其他作者: Hadjisavvas, Nicolas, , Komlósi, S. , Schaible, Siegfried.
- 出版: New York : Springer ©2005.
- 稽核項: 1 online resource (xx, 672 pages) :illustrations.
- 叢書名: Nonconvex optimization and its applications ;v. 76
- 標題: Programação matemática. , Convex functions. , Convexidade (análise funcional) , Electronic books. , MATHEMATICS Calculus. , MATHEMATICS Mathematical Analysis. , Análise variacional. , Mathematical Analysis. , Monotonic functions. , MATHEMATICS , Calculus.
- ISBN: 6610459819 , 9786610459810
- 試查全文@TNUA:
- 附註: Includes bibliographical references and index. 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.
- 摘要: "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.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=133939
- 系統號: 005318534
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.
來源: Google Book
來源: Google Book
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