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Regularity Concepts in Nonsmooth Analysis

Theory and Applications

  • Book
  • © 2012

Overview

  • Didactic approach treats various concepts of regularity in smooth variational analysis and prepares the reader for future research
  • Unique presentation in book form discusses different concepts of regularity and their relationships
  • Thorough introduction to nonsmooth analysis is complemented by a variety of results and applications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 59)

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Table of contents (8 chapters)

  1. Nonsmooth Analysis Theory

  2. Regularity Concepts in Nonsmooth Analysis Theory

  3. Applications of Nonsmooth Analysis Theory

Keywords

About this book

The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. In this light, this work encompasses the most recent collection of various concepts of regularity and nonsmooth analysis into one monograph. The first part of the book attempts to present an accessible and thorough introduction to nonsmooth analysis theory. Main concepts and some useful results are stated and illustrated through examples and exercises. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis. The third and final section contains six different application, with comments in relation to the existing literature.

Authors and Affiliations

  • College of Science, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Messaoud Bounkhel

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