Convergences of marginal functions with dependent constraints

Maria Beatrice Lignola, Jacqueline Morgan · Optimization · 1992

Let (fn )n be a sequence of extended real valued functions defined on the product U×V of two convergence spaces and let (Yn ) be a sequence of multifunctions defined on U and valued in non empty parts of V. Aim of this paper is to give explicit sequential conditions on convergence of sequences (fn ) and (Yn ) in order to obtain sequential convergence properties of the sequence of marginal functions:

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