A note on a theorem of Xu and Roach. (English) Zbl 0927.47037
The author gives a short proof of a theorem due to Xu and Roach concerning a necessary and sufficient condition in order that the steepest descent approximation process associated to a quasi-accretive operator in a uniformly smooth Banach space be convergent.
Reviewer: I.Vrabie (Iaşi)
MSC:
| 47H06 | Nonlinear accretive operators, dissipative operators, etc. |
| 47J25 | Iterative procedures involving nonlinear operators |
| 65J15 | Numerical solutions to equations with nonlinear operators |
Keywords:
steepest descent approximation process; quasi-accretive operator; uniformly smooth Banach spaceReferences:
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