International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

Department of Mathematics, Razi University, Kermanshah, 67149, Iran

Abstract

In this paper,  a new version of a higher-order strongly convex function is introduced which is named    $(\omega-\sigma)$-higher-order strongly convex function. Sufficient conditions for the existence of minimum for  $(\omega-\sigma)$-higher order strongly convex function is provided. The vector version of $(\omega-\sigma)$-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 $(\omega-\sigma)$-higher order strongly convex function is investigated. The results of this article improve and extend the corresponding results presented in this area.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 2
February 2024
Pages 233-238
  • Receive Date: 28 September 2022
  • Accept Date: 07 January 2023