Multiple Split Equilibrium Fixed Point Problem Involving Finite Families of η−demimetric and Quasi-nonexpansive Mappings

Chika Moore; Agatha Chizoba Nnubia; Ugochukwu Ofodile; Austin C. Nduaguibe¹

¹

Publication Date: 2023/08/10

Abstract: Let Hi : (i = 1, ..., k) be Hilbert spaces, Si : Hi → Hi (i = 1, ..., k) be ηi- demimetric; We obtained a common solution to a multiple split equilibrium problem, a finite family of simultaneous equilibrium problem, and a common fixed Point of a finite family of nonlinear mappings. We developed an algo- rithm and established sufficient condition for it's strong convergence to such a common solution. MSC(2010):- 47H10, 47J25.

Keywords: Hilbert Space, Multiple Split, Equilibrium Problems, η Demi- Metric, Strong Convergence.

DOI: https://doi.org/10.5281/zenodo.8232548

PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT22NOV773.pdf

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