Sum Formula for Maximal Abstract Monotonicity and Abstract Rockafellar's Surjectivity Theorem

Author(s):

A. R. Doagooei , H. Mohebi

Message:
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:8 Issue: 2, Nov 2013
Pages:
85 to 100
https://www.magiran.com/p1186125