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http://dx.doi.org/10.5666/KMJ.2022.62.1.69

The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space  

Suwannaut, Sarawut (Department of Mathematics, Faculty of Science, Lampang Rajabhat University)
Kangtunyakarn, Atid (Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang)
Publication Information
Kyungpook Mathematical Journal / v.62, no.1, 2022 , pp. 69-88 More about this Journal
Abstract
In this work, the three-step intermixed iteration for two finite families of nonlinear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading mapping in a Hilbert space. Some additional results are obtained. Finally, a numerical example in a space of real numbers is also given and illustrated.
Keywords
fixed point; the intermixed algorithm; strictly pseudo-contraction; strictly pseudononspreading; strong convergence theorem;
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Times Cited By KSCI : 1  (Citation Analysis)
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