An Adapted Proximal Point Algorithm Utilizing the Golden Ratio Technique for Solving Equilibrium Problems in Banach Spaces

An Adapted Proximal Point Algorithm Utilizing the Golden Ratio Technique for Solving Equilibrium Problems in Banach Spaces

This paper explores the iterative approximation of solutions to equilibrium problems and proposes a simple proximal point method for addressing them. We incorporate the golden ratio technique as an extrapolation method, resulting in a two-step iterative process. This method is self-adaptive and does...

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Bibliographic Details
Main Authors: Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole, Seithuti Philemon Moshokoa, Abubakar Adamu
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
variational inequalities
golden ration technique
Lyapunov function
banach space
self-adaptive stepsize
Online Access:https://www.mdpi.com/2227-7390/12/23/3773
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