Some new results in Menger PbM-spaces for single-valued and multi-valued mappings via simulation functions with its application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 16، شماره 10، دی 2025، صفحه 1-11 اصل مقاله (425.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27258.3681 | ||
| نویسندگان | ||
| Ehsan Lotfali Ghasab؛ Reza Chaharpashlou* | ||
| Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran | ||
| چکیده | ||
| The main goal of the present paper is to obtain several fixed point theorems for both multi-valued and single-valued mappings in Menger $PbM$-spaces, which is an extension of Menger $PM$-spaces. In this paper, we introduce different types of contractive mappings by introducing the notions of $(\alpha-\psi)$-E-type simulation function and $(\beta-\psi)$-E-type simulation function in Menger $PbM$-spaces which is a generalization of simulation functions introduced by Khojasteh. Furthermore, we present some nontrivial examples and an application to the existence of a solution of the Volterra-type integral equation. | ||
| کلیدواژهها | ||
| Menger $PbM$-spaces؛ simulation function؛ self mappings؛ orbital admissible mappings؛ multi-valued mapping | ||
| مراجع | ||
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