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Journal of Convex Analysis 18 (2011), No. 3, 621--626
Copyright Heldermann Verlag 2011

An affirmative answer to a problem posed by Zalinescu

Liangjin Yao
Dept. of Mathematics, Irving K. Barber School, University of Britisch Columbia, Okanagan - Kelowna BC, Canada V1V 1V7

Recently, C. Zalinescu ["A new convexity property for monotone operators", Journal of Convex Analysis 13 (2006) 883--887] 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.

Keywords: Convex function, convex set, Fenchel conjugate, Fitzpatrick function, intrinsic core, maximal monotone operator, monotone operator, multifunction, relative algebraic interior, representative, set-valued operator.

MSC: 47H05; 49J53, 52A41

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