Corrigendum to "$\eta$-admissible mappings in $C^*$-algebra-valued $\mathcal{MP}$-metric spaces with an application" | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 24، دوره 15، شماره 11، بهمن 2024، صفحه 319-332 اصل مقاله (464.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.32048.4752 | ||
| نویسندگان | ||
| Samira Hadi Bonab1؛ Vahid Parvaneh* 2؛ Zohreh Bagheri3 | ||
| 1Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran | ||
| 2Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran | ||
| 3Department of Mathematics, Azadshahr Branch, Islamic Azad University, Azadshahr, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Metric space؛ parametric metric space؛ modular metric space؛ $\eta$-admissible mappings؛ $C^*$-algebra-valued metric space؛ $C^*$-algebra-valued $\mathcal{MP}$-metric space | ||
| مراجع | ||
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