arXiv:1911.04892 Abstract | arXiv Analytics

arXiv:1911.04892 [math.FA]Abstract References Reviews Resources

Faces and Support Functions for the Values of Maximal Monotone Operators

Published 2019-11-12Version 1

Faces and support functions for the values of maximal monotone operators are investigated in this paper. We establish representation formulas for the faces and use them to characterize the boundaries of the values of maximal monotone operators. The representation formulas for support functions are expressed by the limit values of the principal sections of maximal monotone operators. These formulas allow us to study the structure of maximal monotone operators: the unique determination, the local decomposition, and the global ones.

Comments: 14 pages

Categories: math.FA, math.OC

Subjects: 26B25, 47B48, 47H04, 47H05, 54C60

Keywords: maximal monotone operators, support functions, establish representation formulas, limit values, principal sections

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