Approximations of an Equilibrium Problem without Prior Knowledge of Lipschitz Constants in Hilbert Spaces with Applications

Approximations of an Equilibrium Problem without Prior Knowledge of Lipschitz Constants in Hilbert Spaces with Applications

The objective of this paper is to introduce an iterative method with the addition of an inertial term to solve equilibrium problems in a real Hilbert space. The proposed iterative scheme is based on the Mann-type iterative scheme and the extragradient method. By imposing certain mild conditions on a...

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Bibliographic Details
Main Authors: Chainarong Khanpanuk, Nuttapol Pakkaranang, Nopparat Wairojjana, Nattawut Pholasa
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Axioms
Subjects:
equilibrium problem
pseudomonotone bifunction
Lipschitz-type conditions
strong convergence theorems
variational inequality problems
fixed-point problem
Online Access:https://www.mdpi.com/2075-1680/10/2/76

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