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A generalization of Ekeland’s variational principle by using the τ -distance and its application in equilibrium problem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 16، شماره 6، شهریور 2025، صفحه 107-112 اصل مقاله (340.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.30132.4343 | ||
| نویسندگان | ||
| Mahmood Ghobadi؛ Ali Farajzadeh* | ||
| Department of Mathematics, Razi University, Kermanshah, 67149, Iran | ||
| تاریخ دریافت: 17 اسفند 1401، تاریخ بازنگری: 08 بهمن 1402، تاریخ پذیرش: 09 بهمن 1402 | ||
| چکیده | ||
| In this paper, a new version of Ekeland's variational principle by using the concept of $\tau$-distance for bounded from below functions which are not necessarily lower semicontinuous is provided. This new version of Ekeland's variational principle will be applied to establish an existence theorem for a solution to the equilibrium problem in the setting of complete metric spaces. | ||
| کلیدواژه‌ها | ||
| Lower semicontinuous Regularization؛ Ekeland’s variational principle؛ Bounded from below؛ Equilibrium problem؛ τ -distance | ||
| مراجع | ||
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