Simons, S. Simultaneous almost minimization of convex functions and duals of results related to maximal monotonicity. (English) Zbl 1095.49503 J. Convex Anal. 2, No. 1-2, 359-373 (1995). It is known that on a nonreflexive Banach space \(E\) properties of convex functions defined on \(E\) and \(E^{*}\) are not completely symmetric. The aim of this interesting paper is to investigate several properties of proper convex and lower semi-continuous functions on \(E,\) involving their subdifferentials, which hold (with the same formulation) for the conjugates, their subdifferentials being considered as subsets of \(E\). Reviewer: Constantin Zălinescu (MR 2000d:49021) MSC: 49J45 Methods involving semicontinuity and convergence; relaxation 49N15 Duality theory (optimization) 90C46 Optimality conditions and duality in mathematical programming PDF BibTeX XML Cite \textit{S. Simons}, J. Convex Anal. 2, No. 1--2, 359--373 (1995; Zbl 1095.49503) Full Text: EuDML OpenURL