Convergence theorem of common fixed points for a family of nonspreading mappings in Hilbert space |
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| Authors: | Atid Kangtunyakarn |
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| Institution: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan;(2) Department of Electronic Engineering, Nan Kai University of Technology, Nantour, 54243, Taiwan |
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| Abstract: | We introduce the concept of K-mapping of a finite family of nonspreading mappings {Ti}i=1N{\{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 {Ti}i=1N{\{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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