The maximal monotonicity of the subdifferentials of convex functions: Simons' problem

✍ Scribed by Zagrodny, Dariusz

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 642 KB
• Volume: 4
• Category: Article
• ISSN: 0927-6947
• DOI: 10.1007/bf00436107

✦ Synopsis

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&j n (Q x Q*) # 0. The results obtained partially solve the problem posed by Simons as well as generalize the Rockafellar Maximal Monotonicity Theorem.