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Some coincidence theorems of set-valued mappings

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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].

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References

  1. Browder, F.E., On a sharpened form of the Schauder fixed point theorem,Proc. Nat. Acad. Sci. USA.74 (1977), 4749–4751.

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  2. 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.

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  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. Malh.,26 (1984), 67–80.

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Projects Supported by the Science Fund of the Chinese Academy of Sciences.

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Xie-ping, D. Some coincidence theorems of set-valued mappings. Appl Math Mech 10, 205–212 (1989). https://doi.org/10.1007/BF02014614

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  • DOI: https://doi.org/10.1007/BF02014614

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