On Equilibrium Problems

Gábor Kassay ()
Additional contact information
Gábor Kassay: Babes-Bolyai University

A chapter in Optimization and Optimal Control, 2010, pp 55-83 from Springer

Abstract: Summary In this chapter we give an overview of the theory of scalar equilibrium problems. To emphasize the importance of this problem in nonlinear analysis and in several applied fields we first present its most important particular cases as optimization, Kirszbraun’s problem, saddlepoint (minimax) problems, and variational inequalities. Then, some classical and new results together with their proofs concerning existence of solutions of equilibrium problems are exposed. The existence of approximate solutions via Ekeland’s variational principle – extended to equilibrium problems – is treated within the last part of the chapter.

Keywords: equilibrium problem; saddlepoint; variational inequality; intersection theorems; Ekeland’s variational principle; approximate solutions (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations: View citations in EconPapers (7)

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:spochp:978-0-387-89496-6_3

Ordering information: This item can be ordered from
http://www.springer.com/9780387894966

DOI: 10.1007/978-0-387-89496-6_3

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().