Displaying similar documents to “Simultaneous almost minimization of convex functions and duals of results related to maximal monotonicity.”

Convexity and almost convexity in groups

Witold Jarczyk (2013)

Banach Center Publications


We give a review of results proved and published mostly in recent years, concerning real-valued convex functions as well as almost convex functions defined on a (not necessarily convex) subset of a group. Analogues of such classical results as the theorems of Jensen, Bernstein-Doetsch, Blumberg-Sierpiński, Ostrowski, and Mehdi are presented. A version of the Hahn-Banach theorem with a convex control function is proved, too. We also study some questions specific for the group setting,...