Three-step fixed point iteration for generalized multivalued mapping in Banach spaces. (English) Zbl 1235.65052

Summary: The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping is considered. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.


65J05 General theory of numerical analysis in abstract spaces
47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
65J15 Numerical solutions to equations with nonlinear operators
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