On the Fitzpatrick transform of a monotone bifunction

• Published in: Optimization Vol. 62; no. 6; pp. 693 - 701
• Main Authors: Alizadeh, M.H., Hadjisavvas, N.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis Group 01.06.2013; Taylor & Francis LLC
• Subjects: Construction; Convex analysis; equilibrium problem; Fitzpatrick function; Mathematical analysis; maximal monotone operator; monotone bifunction; Operators; Optimization; Studies; Transforms

A new definition of monotone bifunctions is given, which is a slight generalization of the original definition given by Blum and Oettli, but which is better suited for relating monotone bifunctions to monotone operators. In this new definition, the Fitzpatrick transform of a maximal monotone bifunct...