Systems of Vector Quasi-equilibrium Problems and Their Applications

Qamrul Hasan Ansari () and Jen-Chih Yao ()
Additional contact information
Qamrul Hasan Ansari: Aligarh Muslim University
Jen-Chih Yao: National Sun Yat-Sen University

A chapter in Variational Analysis and Generalized Differentiation in Optimization and Control, 2010, pp 1-42 from Springer

Abstract: Abstract In this survey chapter, we present systems of various kinds of vector quasi-equilibrium problems and give existence theory for their solutions. Some applications to systems of vector quasi-optimization problems, quasi-saddle point problems for vector-valued functions and Debreu type equilibrium problems, also known as constrained Nash equilibrium problems, for vector-valued functions are presented. The investigations of this chapter are based on our papers: Ansari (J Math Anal Appl 341:1271–1283, 2008); Ansari et al. (J Global Optim 29:45–57, 2004); Ansari and Khan (Mathematical Analysis and Applications, edited by S. Nanda and G.P. Rajasekhar, Narosa, New Delhi, 2004, pp.1–13); and Ansari et al. (J Optim Theory Appl 127:27–44, 2005).

Keywords: Equilibrium Problem; Topological Vector Space; Vector Variational Inequality; Vector Equilibrium Problem; Nash Equilibrium Problem (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations: View citations in EconPapers (1)

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:978-1-4419-0437-9_1

Ordering information: This item can be ordered from
http://www.springer.com/9781441904379

DOI: 10.1007/978-1-4419-0437-9_1

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 ().