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Stability results for the Ishikawa fixed point iteration procedure. (English) Zbl 0847.47043

Summary: It is proved that the Ishikawa fixed point iteration procedure, for mappings \(T\) satisfying a certain contractive definition, is \(T\)-stable. Our results generalize some of the results of Rhoades which are themselves generalizations and extensions of some of the work of A. M. Harder and T. L. Hicks [Math. Jap. 33, No. 5, 693-706 (1988; Zbl 0655.47045)].

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems

Citations:

Zbl 0655.47045
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