Some criteria for maximal abstract monotonicity

Some criteria for maximal abstract monotonicity

0.00 Avg rating0 Votes
Article ID: iaor20124134
Volume: 53
Issue: 2
Start Page Number: 137
End Page Number: 163
Publication Date: Jun 2012
Journal: Journal of Global Optimization
Authors: , ,
Keywords: duality, monotonicity
Abstract:

In this paper, we develop a theory of monotone operators in the framework of abstract convexity. First, we provide a surjectivity result for a broad class of abstract monotone operators. Then, by using an additivity constraint qualification, we prove a generalization of Fenchel’s duality theorem in the framework of abstract convexity and give some criteria for maximal abstract monotonicity. Finally, we present necessary and sufficient conditions for maximality of abstract monotone operators.

Reviews

Required fields are marked *. Your email address will not be published.