Fixed point theorems for multivalued mappings

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Fixed point theorems for multivalued mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 1, pp. 137-145

MSC: 47H10, 47H15, 47J05, 54C60, 54H25 | MR 653357 | Zbl 0492.47035

References:

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[2] J. CARISTI: Fixed point theorems for mappings satisfying inwardness condition. Trans. Amer. Math. Soc. 215 (1976), 241-251. MR 0394329

[3] I. EKELAND: Nonconvex minimization problems. Bull. Amer. Math. Soc. (New Series) 1 (1979), 443-474. MR 0526967 | Zbl 0441.49011

[4] W. A. KIRK: A fixed point theorem for mappings which do not increase distance. Amer. Math. Monthly 72 (1965), 1004-1005. MR 0189009

[5] E. LAMI-DOZO: Multivalued nonexpansive mappings and Opial's condition. Proc. Amer. Math. Soc. 38 (1973), 286-292. MR 0310718 | Zbl 0268.47060

[6] M. MASCHLER B. PELEG: Stable sets and stable points of multivalued dynamic systems. SIAM J. Control 14 (1976), 985-995. MR 0436101

[7] S. B. NADLER, Jr.: Multivalued contraction mappings. Pacific J. Math. 30 (1969), 475-480. MR 0254828

[8] J. P. PENOT: A short constructive proof of Caristi'a fixed point theorem. preprint.

[9] H. H. SCHAEFER: Topological vector spaces. Springer-Verlag, Berlin, 1971. MR 0342978 | Zbl 0217.16002

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