New textbook

NONLINEAR OPTIMIZATION AND VARIATIONAL INEQUALITIES,

ISBN 978-5-00019-059-3, 508 pp., 2013. (in Russian)

Author: Igor Konnov, Kazan Federal University

Publisher: Kazan Federal University Press, Kazan, Russia

The book describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems. The emphasis is made on revealing generic properties of these problems that allow creation of efficient solution methods. The exposition is based on significant contemporary materials. The book contains many examples and exercises.

Contents

Preface

Part I:

Introduction to Optimization Problems

Elements of Convex Analysis

Unconstrained Smooth Minimization Methods

Unconstrained Convex Non-smooth Minimization Methods

Convex Optimization Problems with Constraints

Smooth Minimization Methods under Simple Constraints

Minimization Methods under Non-linear Constraints

Non-smooth Minimization Methods

Non-convex Optimization Problems

Part II:

Single-valued Variational Inequalities

Solution Methods for Variational Inequalities

Multi-valued Variational Inequalities

Solution Methods for Mixed Variational Inequalities

Solution Methods for Multi-valued Variational Inequalities

Part III:

Complementarity Problems and Non-linear Equations

Non-linear Equilibrium Problems

Auxiliary Materials

Notations

Bibliographical Notes

References

Index

In order to receive the book you should apply to the author.