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Pairs of monotone operators

Author(s): S. Simons
Journal: Trans. Amer. Math. Soc. 350 (1998), 2973-2980.
MSC (1991): Primary 47H05; Secondary 46B10
Addenda: Tran. Amer. Math. Soc. 350 (1998), no. 7, 2973-2980.
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Abstract: This note is an addendum to Sum theorems for monotone operators and convex functions. In it, we prove some new results on convex functions and monotone operators, and use them to show that several of the constraint qualifications considered in the preceding paper are, in fact, equivalent.

References:

1.: M. Coodey and S. Simons, The convex function determined by a multifunction, Bull. Austral. Math. Soc. 54 (1996), 87-97. CMP 96:16
2.: J. L. Kelley, I. Namioka et al., Linear Topological Spaces, Van Nostrand, Princeton, 1963. MR 29:3851
3.: R. R. Phelps, Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Mathematics 1364 (Second Edition), Springer-Verlag, Berlin, 1993. MR 94f:46055
4.: S. Simons, Sum theorems for monotone operators and convex functions, Trans. Amer. Math. Soc., 350 (1998), 2953-2972.


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