Corrigendum to "$\eta$-admissible mappings in $C^*$-algebra-valued $\mathcal{MP}$-metric spaces with an application"
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:
Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 11, Nov 2024
Pages:
319 to 332
https://www.magiran.com/p2744915
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