Some Coincidence Theorems of Set-Valued Mappings

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(3): 195-201

Ding Xie-ping. Some Coincidence Theorems of Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 1989, 10(3): 195-201.

Citation:

Ding Xie-ping. Some Coincidence Theorems of Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 1989, 10(3): 195-201.

Citation:

Ding Xie-ping. Some Coincidence Theorems of Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 1989, 10(3): 195-201.

Abstract

Browder^[1] obtained the sharpened forms of the Schauder fixed point theorem. Many authors generalized Browder's results in several aspects. Recently, H.M. Ko and K.K. Tan^[2,3] generalized Browder's theorems to the coincidence theorems of set-valued mappings. In this paper, we also show some coincidence theorems of set-valued mappings. They improve and generalize the important results in [1,2,3].

[1]	Browder,F.E.,On a sharpened form of the Schauder fixed point theorem,Proc.Nat.Acad.Sci.USA.74(1977),4749-4751.
[2]	Ko,H.M.and K.K Tan.,A coincidence theorem with applications to minimax inequalities and fixed point tneorems.Tamkang J.Math.,17(1986),37-45.
[3]	Tan,K.K.,Generalizations of F.E.Browder's sharpened form of the Schauder fixed point theorem,J.Austral.Math.Soc.,42(1987).
[4]	Browder,F.E.,Coincidence theorems,minimax theorems,and variational inequalities,Contemp.Math.,26(1984).67-80.