×

\(T\)-stability of Picard iteration in metric spaces. (English) Zbl 1145.54328

Summary: We establish a general result for the stability of Picard’s iteration. Several theorems in the literature are obtained as special cases.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
65J15 Numerical solutions to equations with nonlinear operators
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] doi:10.1016/0022-247X(90)90303-W · Zbl 0721.47042
[2] doi:10.2307/1997954 · Zbl 0365.54023
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.