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


Authors : Chika Moore; Agatha Chizoba Nnubia; Ugochukwu Ofodile; Austin C. Nduaguibe

Volume/Issue : Volume 7 - 2022, Issue 11 - November

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/mrynhkn3

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

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.

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.

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