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].
Similar content being viewed by others
References
Browder, F.E., On a sharpened form of the Schauder fixed point theorem,Proc. Nat. Acad. Sci. USA.74 (1977), 4749–4751.
Ko, H.M. and K.K Tan., A coincidence theorem with applications to minimax inequalities and fixed point theorems,Tamkang J. Math.,17 (1986), 37–45.
Tan, K.K., Generalizations of F.E. Browder's sharpened form of the Schauder fixed point theorem,J. Austral. Math. Soc.,42, (1987).
Browder, F.E., Coincidence theorems, minimax theorems, and variational inequalities,Contemp. Malh.,26 (1984), 67–80.
Author information
Authors and Affiliations
Additional information
Projects Supported by the Science Fund of the Chinese Academy of Sciences.
Rights and permissions
About this article
Cite this article
Xie-ping, D. Some coincidence theorems of set-valued mappings. Appl Math Mech 10, 205–212 (1989). https://doi.org/10.1007/BF02014614
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02014614