Skip to content

Savin Treanţӑ, Jen-Chih Yao, Robust variational inequalities governed by curvilinear integral functionals

Full Text: PDF
DOI: 10.23952/jnva.8.2024.3.09

Volume 8, Issue 3, 1 June 2024, Pages 485-497

 

Abstract. In this paper, we state that generalized convexity, invex sets, and the Fréchet differentiability assumption associated with curvilinear integral type functionals represent some necessary and sufficient mathematical tools for establishing various connections between the solutions of some robust (weak) vector commanded variational inequalities and (weak, proper) robust efficient solutions of the corresponding multi-objective variational control problem. In addition, the physical motivation of the problem under investigation is formulated in the illustrative application given at the end of this paper.

 

How to Cite this Article:
S. Treanţӑ, J.C. Yao, Robust variational inequalities governed by curvilinear integral functionals, J. Nonlinear Var. Anal. 8 (2024), 485-497.