3 papers
math.FA2013
Applications of Convex Analysis within Mathematics
Francisco J. Aragón Artacho, Jonathan M. Borwein, Victoria Martín-Márquez +1
In this paper, we study convex analysis and its theoretical applications. We first apply important tools of convex analysis to Optimization and to Analysis. We then show various de…
math.FA2011
Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular
Heinz H. Bauschke, Victoria Martin-Marquez, Sarah M. Moffat +1
Because of Minty's classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of b…
math.FA2009
Alternative iterative methods for nonexpansive mappings, rates of convergence and application
Vittorio Colao, Laurentiu Leustean, Genaro Lopez +1
Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational…