Volume 8, Issue 2 (10-2013)
IJMSI 2013, 8(2): 85-100 |
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Doagooei A R, Mohebi H. Sum Formula for Maximal Abstract Monotonicity and Abstract Rockafellar’s Surjectivity Theorem. IJMSI. 2013; 8 (2) :85-100
URL: http://ijmsi.ir/article-1-507-en.html
URL: http://ijmsi.ir/article-1-507-en.html
Abstract:
In this paper, we present an example in which the sum of two maximal abstract monotone operators is maximal. Also, we shall show that the necessary condition for Rockafellar’s surjectivity which was obtained in ([19], Theorem 4.3) can be sufficient.
Keywords: Monotone operator, Abstract monotonicity, Abstract convex func- tion, Abstract convexity, Rockafellar’s surjectivity theorem.
