Kyungpook Mathematical Journal 2022; 62(1): 69-88
Published online March 31, 2022
Copyright © Kyungpook Mathematical Journal.
The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space
Sarawut Suwannaut, Atid Kangtunyakarn*
Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 52100, Thailand
e-mail : firstname.lastname@example.org
Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand
e-mail : email@example.com
Received: June 16, 2019; Revised: August 21, 2020; Accepted: November 16, 2020
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