MARC details
| 000 -LEADER |
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| fixed length control field |
02366cam a2200229 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130521t20142014flu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781439868201 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.6 |
| Item number |
A6G3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ansari, Q. H. |
| 9 (RLIN) |
279877 |
| 245 10 - TITLE STATEMENT |
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| Title |
Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Boca Raton |
| Name of publisher, distributor, etc |
CRC Press |
| Date of publication, distribution, etc |
2014 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 280 p. |
| 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.<br/><br/>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.<br/><br/>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.<br/><br/>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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Nonsmooth optimization |
| 9 (RLIN) |
279878 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Inequalities - Mathematics |
| 9 (RLIN) |
279879 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Business and Economics - Operations Research |
| 9 (RLIN) |
279880 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics - Applied |
| 9 (RLIN) |
279881 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Technology and Engineering - Operations Research |
| 9 (RLIN) |
279882 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lalitha, C. S. |
| 9 (RLIN) |
279883 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Mehta, M. |
| 9 (RLIN) |
279884 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Item type |
Books |
