Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2019.06.16
  • Accepted : 2020.11.16
  • Published : 2022.03.31
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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

Acknowledgement

This work was supported by the Research Administration Division of King Mongkut's Institute of Technology Ladkrabang and Lampang Rajabhat University.

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