Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull

Zhe Yang () and Yong Jian Pu
Additional contact information
Zhe Yang: Chongqing University
Yong Jian Pu: Chongqing University

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 2, 17-29

Abstract: Abstract In this paper, a new notion of Knaster–Kuratowski–Mazurkiewicz mapping is introduced and a generalized Knaster–Kuratowski–Mazurkiewicz theorem is proved. As applications, some existence theorems of solutions for (vector) Ky Fan minimax inequality, Ky Fan section theorem, variational relation problems, n-person noncooperative game, and n-person noncooperative multiobjective game are obtained.

Keywords: Generalized KKM theorem; (Vector) Ky Fan minimax inequality; Ky Fan section theorem; Variational relation problems; Nash equilibrium; Weakly Pareto–Nash equilibrium (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-012-9994-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:joptap:v:154:y:2012:i:1:d:10.1007_s10957-012-9994-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-012-9994-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().