Corrigendum to "A new class of hybrid contractions with higher-order iterative Kirk's method for reckoning fixed points"

Introduction

The weak contraction mappings are essential in various mathematical fields due to their relaxed condition, which allows for a wider range of applications. They play a crucial role in fixed point theory, differential equations, optimization, and numerical analysis, providing a valuable tool for studying and solving a broader class of mathematical problems. In this direction, Zhou et al. ^[2] presented a notable paper as a generalization of the idea of enriched contraction mapping by selecting the auxiliary functions $f:{R}_{+}^{3}\to {R}_{+}$ under $k$-fold averaged mapping based on Kirk's iterative algorithm of order $k$. Under this generalization, they obtained certain and useful fixed-point results, which turned out to be a good contribution to fixed-point theory. Considering the significance of this trend, Nisar et al. ^[1] have put out an analogous investigation to the findings of ^[2] by redefining the auxiliary function to expand its domain by incorporating four components in the form $f:{R}_{+}^{4}\to {R}_{+}.$ Furthermore, this generalization encompassed the presentation of definitions and theorems and included illustrative examples that substantiate the theoretical outcomes under the newly defined function.

Corrigendum

The results derived in paper ^[1] are a generalization and extension of the results of paper ^[2], which were overlooked in the literature review section of ^[1].

Conflict of interest

The authors declare no conflict of interest.