Abstract

We introduce the concept of K-mapping of a finite family of nonspreading mappings \({\{T_i\}_{i=1}^N}\) and we show that the fixed point set of the K-mapping is the set of common fixed points of \({\{T_i\}_{i=1}^N}\). Moreover, we prove strong convergence theorem of the Ishikawa iterative process to a common fixed point of a finite family of nonspreading mappings in Hilbert space under certain control conditions.

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