Sufficient conditions for the existence of solution for (ω - σ)-higher order strongly variational inequality.

Autor: Ranjbar, Sahar, Farajzadeh, Ali
Předmět:
Zdroj: International Journal of Nonlinear Analysis & Applications; Feb2024, Vol. 15 Issue 2, p233-238, 6p
Abstrakt: In this paper, a new version of a higher-order strongly convex function is introduced which is named (ω-σ)-higherorder strongly convex function. Sufficient conditions for the existence of minimum for (ω - σ)-higher order strongly convex function is provided. The vector version of (ω-σ)-higher order strongly convex function is given and by using KKM theory an existence results for a solution of it is proved. Moreover, the compactness of the solution set of the vector version of (ω -σ)-higher order strongly convex function is investigated. The results of this article improve and extend the corresponding results presented in this area. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index