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The Rockafellar Conjecture and type (FPV)
- Source :
- Set-Valued and Variational Analysis. 24:381-385
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- In this note, using a technique of Verona and Verona, we show that a result announced in “All maximal monotone operators in a Banach space are of type FPV” by A. Eberhard and R. Wenczel, Set-Valued Var. Anal. 22, 597–615, (2014), implies the truth of the Rockafellar conjecture. We then show that there is a gap in the logic of the Eberhard–Wenczel result, which we tried unsuccessfully to close. We also discuss briefly the connection with maximally monotone multifunctions of type (FPV).
- Subjects :
- Statistics and Probability
Discrete mathematics
Numerical Analysis
021103 operations research
Conjecture
Applied Mathematics
0211 other engineering and technologies
Banach space
010103 numerical & computational mathematics
02 engineering and technology
Type (model theory)
01 natural sciences
Connection (mathematics)
Monotone polygon
Geometry and Topology
0101 mathematics
Convex conjugate
Analysis
Mathematics
Subjects
Details
- ISSN :
- 18770541 and 18770533
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Set-Valued and Variational Analysis
- Accession number :
- edsair.doi...........12ce6d9dd8d26b842b562224605d0c48