EURO Advanced Tutorials on Operational Research

Even Convexity and Optimization

Handling Strict Inequalities

Authors: Fajardo, M.D., Goberna, M.A., Rodríguez, M.M.L., Vicente-Pérez, J.

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  • Presents a comprehensive course on convex optimization
  • Provides a special focus on even convexity and systems containing strict inequalities
  • Introduces applications in and examples from economics
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eBook 67,40 €
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  • ISBN 978-3-030-53456-1
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Hardcover 83,19 €
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About this Textbook

This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets. The book introduces their application to convex optimization. Particular attention is paid to evenly convex polyhedra and finite linear systems containing strict inequalities. The book also analyzes evenly convex and quasiconvex functions from a conjugacy and duality perspective. It discusses the applications of these functions in economics. Written in an expository style the main concepts and basic results are illustrated with suitable examples and figures..

About the authors

María D. Fajardo studied Mathematics at the University of Murcia, Spain and received her Ph.D. in Mathematics from the University of Alicante under the supervision of Marco A. López, with a thesis on convex semi-infinite programming. She is an Associate Professor in the Department of Mathematics at the University of Alicante. Her main research fields are duality theory and evenly convex optimization, currently working on saddle point theory, Lagrangian duality and DC problems under even convexity assumptions.

Miguel A. Goberna is B.Sc and Ph.D. in Mathematics from the University of Valencia, Spain. He has held faculty positions at the Universities of Valencia and Alicante, where he is currently full Professor. He has been Head of several Departments at the University of Alicante and has served as Editor-in-Chief of the Springer journal Top. Miguel A. Goberna is author of more than 100 papers on semi-infinite and infinite optimization, robust optimization, duality, stability, even convexity, etc. He is best known for his books on linear semi-infinite optimization with Marco A. López (Wiley 1998 and Springer 2014).

Margarita M.L. Rodríguez is an Associate Professor in the Department of Mathematics at the University of Alicante, Spain. She earned her B.Sc. in Mathematics from the University of Santiago de Compostela and obtained her Ph.D. in Mathematics from the University of Alicante under the supervision of Miguel A. Goberna and Valentín Jornet with a thesis on linear systems and convex sets. Her research interests are focused on semi-infinite optimization, duality and even convexity, among others.

José Vicente-Pérez received both his M.Sc. and Ph.D. in Mathematics from the University of Murcia, Spain. He has held faculty positions at Public University of Navarre, University of New South Wales and Carlos III University of Madrid. After four years in the Department of Economic Analysis of the University of Alicante, he is currently Assistant Professor at the Department of Mathematics. He has published in international journals such as European Journal of Operational Research, SIAM Journal on Optimization, Journal of Optimization Theory and Applications and Journal of Public Economic Theory. His research interests include evenly convex sets and functions, polynomial optimization, decision making under uncertainty, etc.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-030-53456-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 83,19 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Even Convexity and Optimization
Book Subtitle
Handling Strict Inequalities
Authors
Series Title
EURO Advanced Tutorials on Operational Research
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-53456-1
DOI
10.1007/978-3-030-53456-1
Hardcover ISBN
978-3-030-53455-4
Series ISSN
2364-687X
Edition Number
1
Number of Pages
XV, 181
Number of Illustrations
22 b/w illustrations, 19 illustrations in colour
Topics