International Journal of Nonlinear Analysis and Applications

Corrigendum to "$\eta$-admissible mappings in $C^*$-algebra-valued $\mathcal{MP}$-metric spaces with an application"

Document Type : Research Paper

Authors

1 Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

2 Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

3 Department of Mathematics, Azadshahr Branch, Islamic Azad University, Azadshahr, Iran

Abstract

This article is a revision and correction of the chapter book [S. Hadi Bonab, V. Parvaneh, Z. Bagheri, $\eta_{\mathcal{A}}$-Admissible Mappings for Four Maps in $C*$-Algebra-Valued MP-Metric Spaces with an Application, In: P. Debnath, Delfim F. M. Torres, Yeol Je Cho, Advanced Mathematical Analysis and its Applications, CRC Press, 2023, 97-113.]. In this article, we first introduce the concept of $\eta$-admissible mapping in $C^*$-algebra valued $\mathcal{MP}$-metric spaces, which is a generalization and combination of "modular metric spaces", "parametric metric spaces" and "$C^*$-algebra-valued metric spaces". Then, for four mappings in these spaces, we prove several fixed-point theorems. We give an example and an application regarding the solvability of operator equations and integral equations, respectively, to support the new findings.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 11
November 2024
Pages 319-332
  • Receive Date: 12 September 2023
  • Revise Date: 24 October 2023
  • Accept Date: 02 November 2023