Introduction to Nonsmooth Optimization Problems

Giorgio Giorgi (), Bienvenido Jiménez () and Vicente Novo ()
Additional contact information
Giorgio Giorgi: University of Pavia
Bienvenido Jiménez: National University of Distance Education
Vicente Novo: National University of Distance Education

Chapter Chapter 10 in Basic Mathematical Programming Theory, 2023, pp 317-382 from Springer

Abstract: Abstract In treating the various optimization problems described in the previous chapters, we have almost always supposed (with the exception of the characterization of saddle points of the Lagrangian function, in Chap. 8 ) that the functions involved in the said problems are differentiable or continuously differentiable or twice-continuously differentiable. Starting from the 70s of the last century, the necessity of studying nonsmooth (i.e. nondifferentiable) functions and hence nonsmooth optimization problems, gave rise to a new mathematical theory, called Nonsmooth Analysis Nonsmooth analysis (this term was introduced by the Canadian mathematician F. H. Clarke).

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-031-30324-1_10

Ordering information: This item can be ordered from
http://www.springer.com/9783031303241

DOI: 10.1007/978-3-031-30324-1_10

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().