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- W1571999784 abstract "Abstract It is shown that for any maximal monotone set-valued operator T on a real Banach space E, there is a sequence {Tn} of bounded maximal monotone operators which have nonempty values at each point and which converge to T in a reasonable sense. Better convergence properties are shown to hold when T is in a new proper subclass of maximal monotone operators (the “locally” maximal monotone operators), a subclass which coincides with the entire class in reflexive spaces. The approximation method is patterned on the one which results when the (maximal monotone) subdifferential ∂f of a proper lower semicontinuous convex function f is approximated by a sequence of bounded subdifferentials {∂fn}, where each fn is the (continuous and convex) inf-convolution of f with the function n ‖ · ‖. The main advantage of this approximation scheme over the classical Moreau-Yosida approximation method is that it exists in non-reflexive Banach spaces." @default.
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- W1571999784 title "Bounded approximants to monotone operators on Banach spaces" @default.
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- W1571999784 doi "https://doi.org/10.1016/s0294-1449(16)30230-x" @default.
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