Fixed point theorems for multi-valued mappings in subsymmetrizable spaces
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- by Nguyen Huy Viet
- Proc. Amer. Math. Soc. 121 (1994), 417-422
- DOI: https://doi.org/10.1090/S0002-9939-1994-1174497-3
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Abstract:
Three fixed point theorems for multi-valued mappings in symmetric spaces with closure operator are proved. As corollaries of these theorems we obtain the existence of fixed points of mappings in compact metric spaces. Another corollary of the last theorem extends a condition of Kannan’s theorem.References
- A. Kh. Liepin′sh, Lullaby for a little tiger cub on fixed points, Topological spaces and their mappings, Latv. Gos. Univ., Riga, 1983, pp. 61–69 (Russian, with English summary). MR 731744 —, Fixed point theorems in subsymmetrizable spaces, Fifth Prague Topological Symposium, Theses (Prague, 1981).
- R. Kannan, Fixed point theorems in reflexive Banach spaces, Proc. Amer. Math. Soc. 38 (1973), 111–118. MR 313896, DOI 10.1090/S0002-9939-1973-0313896-2
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 417-422
- MSC: Primary 54H25; Secondary 54C60
- DOI: https://doi.org/10.1090/S0002-9939-1994-1174497-3
- MathSciNet review: 1174497