# A Simple proof for Imnang's algorithms

## TL;DR

This paper presents a straightforward proof of convergence for Imnang's recent iterative algorithm involving relaxed (u, v)-cocoercive mappings, simplifying the understanding of its theoretical foundation.

## Contribution

The paper offers a simplified convergence proof for Imnang's algorithm, enhancing theoretical clarity and potential applicability in variational inequality problems.

## Key findings

- Proof confirms convergence of Imnang's algorithm
- Simplifies understanding of iterative method
- Strengthens theoretical basis for variational inequalities

## Abstract

In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed $(u, v)$-cocoercive mappings due to S. Imnang [S. Imnang, Viscosity iterative method for a new general system of variational inequalities in Banach spaces. J. Inequal. Appl., 249:18 pp., 2013.] is presented.