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Viscosity methods for zeroes of accretive operators
Authors:Paul-Emile Maing
Institution:GRIMMAG, Université des Antilles-Guyane, Département Scientifique Interfacultaire, Campus de Schoelcher, 97230 Cedex, Martinique, FWI
Abstract:This paper deals with the general iteration method View the MathML source, for calculating a particular zero of A, an m-accretive operator in a Banach space X, Tn being a sequence of nonexpansive self-mappings in X. Under suitable conditions on the parameters and X, we state strong and weak convergence results of (xn). We also show how to compute a common zero of two m-accretive operators in X.
Keywords:Viscosity method  Accretive operator  Nonexpansive mapping  Fixed point
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