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On the convergence of the Ishikawa iterates to a common fixed point of multivalued mappings. (English) Zbl 1073.47061

The convergence of the Ishikawa iterates to a common fixed point of a pair \(S,T:C \to CB(C)\) is considered. Here, \(C\) is a convex closed part of a normed linear space and \(CB(C)\) is the family of all closed bounded subsets of \(C\).

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47H04 Set-valued operators
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