A generalization of Ekeland’s variational principle by using the τ -distance and its application in equilibrium problem

	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
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
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