An affirmative answer to a problem posed by Zalinescu
Liangjin Yao
TL;DR
This paper provides an affirmative answer to Zalinescu's question regarding the characterization of the intrinsic core of the Minkowski sum of two graphs related to maximal monotone operators.
Contribution
It offers a novel proof confirming Zalinescu's conjecture about the intrinsic core of the Minkowski sum of two maximal monotone operator graphs.
Findings
Confirmed the characterization of the intrinsic core for the Minkowski sum
Extended understanding of maximal monotone operator graphs
Provided a theoretical foundation for future research
Abstract
Recently, in [5] Zalinescu posed a question about the characterization of the intrinsic core of the Minkowski sum of two graphs associated with two maximal monotone operators. In this note we give an affirmative answer.
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Taxonomy
TopicsAdvanced Banach Space Theory · Nonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering