Sullivan, Francis A characterization of complete metric spaces. (English) Zbl 0468.54021 Proc. Am. Math. Soc. 83, 345-346 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 27 Documents MSC: 54E50 Complete metric spaces 54C30 Real-valued functions in general topology Keywords:Bishop-Phelps theorem PDF BibTeX XML Cite \textit{F. Sullivan}, Proc. Am. Math. Soc. 83, 345--346 (1981; Zbl 0468.54021) Full Text: DOI References: [1] H. Brézis and F. E. Browder, A general principle on ordered sets in nonlinear functional analysis, Advances in Math. 21 (1976), no. 3, 355 – 364. · Zbl 0339.47030 [2] James Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241 – 251. · Zbl 0305.47029 [3] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324 – 353. · Zbl 0286.49015 [4] Ivar Ekeland, Nonconvex minimization problems, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 3, 443 – 474. · Zbl 0441.49011 [5] W. A. Kirk, Caristi’s fixed point theorem and the theory of normal solvability, Fixed point theory and its applications (Proc. Sem., Dalhousie Univ., Halifax, N.S., 1975) Academic Press, New York, 1976, pp. 109 – 120. [6] W. A. Kirk, Caristi’s fixed point theorem and metric convexity, Colloq. Math. 36 (1976), no. 1, 81 – 86. · Zbl 0353.53041 [7] R. R. Phelps, Support cones in Banach spaces and their applications, Advances in Math. 13 (1974), 1 – 19. · Zbl 0284.46015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.