A convergence theorem for approximating minimization and fixed point problems for non-self mappings in Hadamard spaces

Authors

  • Kazeem O. Aremu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • Chinedu Izuchukwu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • Kazeem Olawale Oyewole School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • Oluwatosin Temitope Mewomo School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

DOI:

https://doi.org/10.33044/revuma.1762

Abstract

We propose a modified Halpern-type algorithm involving a Lipschitz hemicontractive non-self mapping and the resolvent of a convex function in a Hadamard space. We obtain a strong convergence of the proposed algorithm to a minimizer of a convex function which is also a fixed point of a Lipschitz hemicontractive non-self mapping. Furthermore, we give a numerical example to illustrate and support our method. Our proposed method improves and extends some recent works in the literature.

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Author Biography

Oluwatosin Temitope Mewomo, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Senior Lecturer

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Published

2021-09-28

Issue

Vol. 62 No. 2 (2021)

Section

Article

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Copyright (c) 2022 Kazeem O. Aremu, Chinedu Izuchukwu, Kazeem Olawale Oyewole, Oluwatosin Temitope Mewomo

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