A new proof of Caristi’s fixed point theorem
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- by Jerrold Siegel
- Proc. Amer. Math. Soc. 66 (1977), 54-56
- DOI: https://doi.org/10.1090/S0002-9939-1977-0458403-2
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Abstract:
An elementary proof of Caristi’s generalization of the contraction theorem is presented.References
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- Felix E. Browder, On a theorem of Caristi and Kirk, Fixed point theory and its applications (Proc. Sem., Dalhousie Univ., Halifax, N.S., 1975) Academic Press, New York, 1976, pp. 23–27. MR 0461474
- James Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241–251. MR 394329, DOI 10.1090/S0002-9947-1976-0394329-4
- Ivar Ekeland, Sur les problèmes variationnels, C. R. Acad. Sci. Paris Sér. A-B 275 (1972), A1057–A1059 (French). MR 310670
- Chi Song Wong, On a fixed point theorem of contractive type, Proc. Amer. Math. Soc. 57 (1976), no. 2, 283–284. MR 407826, DOI 10.1090/S0002-9939-1976-0407826-5
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 54-56
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0458403-2
- MathSciNet review: 0458403