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Simultaneous almost minimization of convex functions and duals of results related to maximal monotonicity. (English) Zbl 1095.49503
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 \(E\).
MSC:
49J45 Methods involving semicontinuity and convergence; relaxation
49N15 Duality theory (optimization)
90C46 Optimality conditions and duality in mathematical programming
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