On the virtual convexity of the domain and range of a nonlinear maximal monotone operator. (English) Zbl 0181.42202
Keywords:
functional analysisReferences:
| [1] | Asplund, E.: Averaged norms. Israel J. Math.5, 227-233 (1967). · Zbl 0153.44301 · doi:10.1007/BF02771611 |
| [2] | ?? Positivity of duality mappings. Bull. Amer. Math. Soc.73, 200-203 (1967). · Zbl 0149.36202 · doi:10.1090/S0002-9904-1967-11678-1 |
| [3] | – Rockafellar, R. T.: Gradients of convex functions. To appear in Trans. Amer. Math. Soc. |
| [4] | Brøndsted, A., Rockafellar, R. T.: On the subdifferentiability of convex functions. Proc. Amer. Math. Soc.16, 405-411 (1965). · Zbl 0141.11801 |
| [5] | Browder, F. E.: Nonlinear maximal monotone operators in Banach space. Math. Ann.175, 89-113 (1968). · Zbl 0159.43901 · doi:10.1007/BF01418765 |
| [6] | Cudia, D. F.: The geometry of Banach spaces. Smoothness. Trans. Amer. Math. Soc.110, 284-314 (1964). · Zbl 0123.30701 · doi:10.1090/S0002-9947-1964-0163143-9 |
| [7] | Halkin, H.: Finite convexity in infinite-dimensional spaces. Proc. of the Colloquium on Convexity, Copenhagen, 1965, W. Fenchel (ed.), Copenhagen (1967), 126-131. |
| [8] | Kadec, M. I.: Spaces isomorphic to a locally uniformly convex space. Izv. Vyss. Ucebn. Zaved. Matematika13, 51-57 (1959) (Russian). · Zbl 0092.11401 |
| [9] | Lindenstrauss, J.: On nonseparable reflexive Banach spaces. Bull. Amer. Math. Soc.72, 967-970 (1966). · Zbl 0156.36403 · doi:10.1090/S0002-9904-1966-11606-3 |
| [10] | Minty, G. J.: On the maximal domain of a ?monotone? function. Michigan Math. J.8, 135-137 (1961). · Zbl 0102.37503 · doi:10.1307/mmj/1028998564 |
| [11] | Moreau, J. J.: Proximité et dualité dans un espace hilbertien. Bull. Soc. Math. France93, 273-299 (1965). · Zbl 0136.12101 |
| [12] | Rockafellar, R. T.: Characterization of the subdifferentials of convex functions. Pacific J. Math.17, 497-510 (1966). (A correction to the maximality proof in this paper is given in: On the maximal monotonicity of subdifferential mappings. Pacific J. Math. (1970).) · Zbl 0145.15901 |
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
