书目名称 | Nonlinear Programming Techniques for Equilibria |
编辑 | Giancarlo Bigi,Marco Castellani,Mauro Passacantand |
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概述 | Presents a unified treatment of different mathematical models for equilibria.Provides a mathematically rigorous tutorial on Ky Fan inequalities.Focuses on diverse algorithmic schemes to better fit a w |
丛书名称 | EURO Advanced Tutorials on Operational Research |
图书封面 |  |
描述 | This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques – e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms – as valuable tools for analyzing and solving Ky Fan inequalities. |
出版日期 | Textbook 2019 |
关键词 | variational inequalities; complementarity; multiobjective optimization; fixed point problems; noncoopera |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-00205-3 |
isbn_softcover | 978-3-030-13092-3 |
isbn_ebook | 978-3-030-00205-3Series ISSN 2364-687X Series E-ISSN 2364-6888 |
issn_series | 2364-687X |
copyright | Springer Nature Switzerland AG 2019 |