BORWEIN , Jonathan M.

In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in...

This talk is based on the paper: Aragón, Borwein, Martín-Márquez, Yao Applications of convex analysis within mathematics, Math. Program., Ser B, December 2014, Volume 148, Issue 1, pp 49-88. in a special issue to celebrate the 50th birthday of Modern Convex Analysis and convex optimization that became a tribute to the memory of Jean Jacques...