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

Atid Kangtunyakarn|Sarawut Suwannaut
경북대학교 자연과학대학 수학과|2022.03|Kyungpook Mathematical Journal|제62권 제1호|pp. 69-88|DOI https://doi.org/10.5666/KMJ.2022.62.1.69

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참고문헌

키워드

fixed pointthe intermixed algorithmstrictly pseudo-contractionstrictly pseudononspreadingstrong convergence theorem
주제분류수학

초록

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.

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.

참고문헌 (18)

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