The maximal monotonicity of the subdifferentials of convex functions: Simons' problem |
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Authors: | Dariusz Zagrodny |
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Institution: | (1) Technical University of ód , ul. wirki 36, ód , Poland, 90-924 |
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Abstract: | In the paper we deal with the problem when the graph of the subdifferential operator of a convex lower semicontinuous function has a common point with the product of two convex nonempty weak and weak* compact sets, i.e. when graph ![part](/content/x256351255h6808r/xxlarge8706.gif) (Q × Q
*) 0. The results obtained partially solve the problem posed by Simons as well as generalize the Rockafellar Maximal Monotonicity Theorem. |
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Keywords: | 49J52 26B25 47H05 52A10 52A41 |
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