This article introduces an algorithm to enhance convergence in equilibrium problems using Banach spaces, suggesting improved results.
In this article, we propose a new iterative scheme to solve equilibrium problems in the framework of Banach spaces. This study presents an enhanced convergence framework through the development of a new algorithm that integrates a novel control sequence with an improved iterative scheme. We prove a theorem that converges strongly. Finally, we present a few optimal comparisons of numerical examples in real line and that support our claim of the superior convergence behavior of the proposed algorithm over the existing ones in the literature.
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Parthiban et al. (2025) studied this question.
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