On quantitative metastability for accretive operators

被引:1
|
作者
Sipos, Andrei [1 ,2 ,3 ]
机构
[1] Univ Bucharest, Fac Math & Comp Sci, Res Ctr Log Optimizat & Secur LOS, Dept Comp Sci, Acad 14, Bucharest 010014, Romania
[2] Romanian Acad, Sim Stoilow Inst Math, Calea Grivitei 21, Bucharest 010702, Romania
[3] Inst Log & Data Sci, Popa Tatu 18, Bucharest 010805, Romania
来源
关键词
Proof mining; sunny nonexpansive retractions; metastability; resolvents; accretive operators; STRONG-CONVERGENCE THEOREMS; NON-LINEAR SEMIGROUPS; ASYMPTOTIC-BEHAVIOR; NONLINEAR MAPPINGS; FIXED-POINTS; BANACH;
D O I
10.4171/ZAA/1741
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Kohlenbach and the author have extracted a rate of metastability for approximating curves associated to continuous pseudocontractive self-mappings in Banach spaces which are uniformly convex and uniformly smooth, whose convergence is due to Reich. In this note, we show that this result may be extended to Reich's original convergence statement involving resolvents of accretive operators.
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页码:417 / 433
页数:17
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