EAN: 9783319927732

SPRINGER MONOGRAPHS IN MATHEMATICS VARIATIONA...

Building on fundamental results in variational analysis  this monograph presents new and recent
developments in the field as well as selected applications. Accessible to a broad spectrum of
potential readers  the main material is presented in finite-dimensional spaces.
Infinite-dimensional developments are discussed at the end of each chapter with comprehensive
commentaries which emphasize the essence of major results  track the genesis of ideas  provide
historical comments  and illuminate challenging open questions and directions for future
research. The first half of the book (Chapters 1-6) gives a systematic exposition of key
concepts and facts  containing basic material as well as some recent and new developments.
These first chapters are particularly accessible to masters doctoral students taking courses in
modern optimization  variational analysis  applied analysis  variational inequalities  and
variational methods. The reader's development of skills will be facilitated as they work
through each  or a portion of  the multitude of exercises of varying levels. Additionally  the
reader may find hints and references to more difficult exercises and are encouraged to receive
further inspiration from the gems in chapter commentaries. Chapters 7-10 focus on recent
results and applications of variational analysis to advanced problems in modern optimization
theory  including its hierarchical and multiobjective aspects  as well as microeconomics  and
related areas. It will be of great use to researchers and professionals in applied and
behavioral sciences and engineering.

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