A modified Halpern-proximal point method for approximating solutions of mixed equilibrium and fixed point problems in Hadamard spaces

K. O. Aremu*, M. Aphane, A. H. Ibrahim, O. K. Oyewole

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce and study a modified Halpern-type proximal point algorithm which comprises a finite family of resolvents of mixed equilibrium problems and a finite family of k-demimetric mappings. We prove that the algorithm converges strongly to a common solution of a finite family of mixed equilibrium problems, which is also a common fixed point of a finite family of k-demimetric mappings in a Hadamard space. Furthermore, we give a numerical example of our algorithm to show the applicability of our algorithm.

Original languageEnglish
Pages (from-to)427-441
Number of pages15
JournalArabian Journal of Mathematics
Volume11
Issue number3
DOIs
Publication statusAccepted/In press - 2022

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