General convexity, nonsmooth variational inequalities, and nonsmooth optimization / (Record no. 70852)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02808cam a2200301Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429065019 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180331s2014 flua ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780429065019 |
| -- | (e-book : PDF) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hardback) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 519.6 |
| -- | A617 |
| 100 1# - AUTHOR NAME | |
| Author | Ansari, Qamrul Hasan., |
| 245 10 - TITLE STATEMENT | |
| Title | General convexity, nonsmooth variational inequalities, and nonsmooth optimization / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xv, 280 pages) |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 1. Generalized convexity and generalized monotonicity -- 2. Nonsmooth variational inequalities and nonsmooth optimization. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction.The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential.The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential.Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes-- |
| 700 1# - AUTHOR 2 | |
| Author 2 | Lalitha, C. S. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Mehta, Monika. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.taylorfrancis.com/books/9781439868218 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Boca Raton : |
| -- | CRC Press, |
| -- | 2014. |
| 520 ## - SUMMARY, ETC. | |
| -- | Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonsmooth optimization. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Inequalities (Mathematics) |
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