Viscosity methods for zeroes of accretive operators

Authors:
Paul-Emile Maingé
Affiliations:
GRIMMAG, Université des Antilles-Guyane, Département Scientifique Interfacultaire, Campus de Schoelcher, 97230 Cedex, Martinique, FWI
Venue:
Journal of Approximation Theory
Year:
2006

Citing 2
Cited 1

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Abstract

This paper deals with the general iteration method x"n"+"1@?@a"nT"nx"n+(1-@a"n)J"r"""n^Ax"n, for calculating a particular zero of A, an m-accretive operator in a Banach space X, T"n 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 (x"n). We also show how to compute a common zero of two m-accretive operators in X.