Zeros ofm-accretive operators in Banach spaces |
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| Authors: | W. A. Kirk R. Schöneberg |
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| Affiliation: | (1) Department of Mathematics, University of Iowa, 52242 Iowa City, Iowa, USA;(2) Present address: Lerstuhl C für Mathematik, RWTH Aachen, 5100 Aachen, FRG |
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| Abstract: | An operatorT defined on a subsetD(T) of a Banach spaceE and taking values in 2 E is said to bem-accretive if for each λ>0, the mappingJ λ=(I+λT)−1 is a single-valued nonexpansive mapping defined on all ofE. In this paper, facts derived from an elementary analysis of the bahavior of {J λ x}λ≧0 for fixedxεD(T) are applied to obtain theorems concerning existence of zeros and surjectivity. Research supported in part by National Science Foundation grant: MCS 76-03945-A01. |
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