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Convergence and stability of iterative processes for a pair of simultaneously asymptotically quasi-nonexpansive type mappings in convex metric spaces. (English) Zbl 1136.47044

The authors introduce the concept of a pair of simultaneously asymptotically quasi-nonexpansive mappings. They develop a two-step modified iterative process with errors to approximate the common fixed point. Some stability results are also discussed.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
49M05 Numerical methods based on necessary conditions
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