Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1225.47056
Al-Thagafi, M.A.; Shahzad, Naseer
Best proximity pairs and equilibrium pairs for Kakutani multimaps. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 3, A, 1209-1216 (2009). ISSN 0362-546X

Summary: New existence theorems of best proximity pairs for a finite family of Kakutani multimaps are proved in a normed space setting. As applications, new existence theorems of equilibrium pairs for free $n$-person and 1-person games are obtained. Our results generalize and improve several well-known results.

MSC 2000:: *47H04 Set-valued operators
54H25 Fixed-point theorems in topological spaces
91A06 $n$-person games, $n>2$
41A50 Best approximation

Keywords: best proximity pair; equilibrium pair; free $n$-person game; Kakutani multimap; fixed point

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]