Convex Analysis and Beyond Volume I: Basic Theory

This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analys...

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Bibliographic Details
Main Authors: Mordukhovich, Boris S., Mau Nam, Nguyen (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Springer Series in Operations Research and Financial Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Fundamentals
  • Basic theory of convexity
  • Convex generalized differentiation
  • Enhanced calculus and fenchel duality
  • Variational techniques and further subgradient study
  • Miscellaneous topics on convexity
  • Convexified Lipschitzian analysis
  • List of Figures
  • Glossary of Notation and Acronyms
  • Subject Index