GENERALIZED KKM THEOREMS ON HYPERCONVEX METRIC SPACES WITH APPLICATIONS

In this work, we establish a generalized KKM theorem in a hyperconvex metric space, and then we use this theorem to get a fixed point theorem, the matching theorem, the coincidence theorem, minimax inequality theorems and the variational inequality theorems.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Taiwanese journal of mathematics 2008-12, Vol.12 (9), p.2363-2372
Hauptverfasser:	Chang, Tong-Huei, 張東輝, Chen, Chi-Ming, 陳啟銘, Huang, Huwi-Ching, 黃慧卿
Format:	Artikel
Sprache:	eng
Schlagworte:	Coincidence Diagonal lemma Mathematical inequalities Mathematical theorems Metric spaces Minimax Topological spaces Topological theorems Variational inequalities
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this work, we establish a generalized KKM theorem in a hyperconvex metric space, and then we use this theorem to get a fixed point theorem, the matching theorem, the coincidence theorem, minimax inequality theorems and the variational inequality theorems.
ISSN:	1027-5487 2224-6851
DOI:	10.11650/twjm/1500405184