TY - JOUR
T1 - Strong convergence of resolvents of monotone operators in banach spaces
AU - Kido, Kazuo
PY - 1988/7
Y1 - 1988/7
N2 - Let E* be a real strictly convex dual Banach space with a Fréchet differentiable norm, and A a maximal monotone operator from E into E* such that A-1 ≠ φ. Fix x ∊ E. Then Jλx converges strongly to Px as λ→∞, where Jλ is the resolvent of A, and P is the nearest point mapping from E onto A-10.
AB - Let E* be a real strictly convex dual Banach space with a Fréchet differentiable norm, and A a maximal monotone operator from E into E* such that A-1 ≠ φ. Fix x ∊ E. Then Jλx converges strongly to Px as λ→∞, where Jλ is the resolvent of A, and P is the nearest point mapping from E onto A-10.
KW - Iteration
KW - Monotone operator
KW - Nearest point
KW - Resolvent
UR - http://www.scopus.com/inward/record.url?scp=84966217750&partnerID=8YFLogxK
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U2 - 10.1090/S0002-9939-1988-0947652-x
DO - 10.1090/S0002-9939-1988-0947652-x
M3 - Article
AN - SCOPUS:84966217750
SN - 0002-9939
VL - 103
SP - 755
EP - 758
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -