Structure Theory for Maximally Monotone Operators with Points of Continuity

Jonathan M. Borwein () and Liangjin Yao ()
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Jonathan M. Borwein: University of Newcastle
Liangjin Yao: University of Newcastle

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 1, No 1, 24 pages

Abstract: Abstract In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of norm-to-weak∗ closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.

Keywords: Local boundedness; Maximally monotone operator; Monotone operator; Norm-weak∗ graph closedness; Property (Q) (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0162-y

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