Full Text: PDF
Volume 5, Issue 3, 1 June 2021, Pages 371-389
Abstract. In this paper, a bilevel strong vector equilibrium problem is introduced and investigated by using the Fan’s lemma. Two approaches for finding the solutions of this problem are considered. The applications provide sufficient conditions for the existence of the solutions of a Pareto vector optimization over set constraints and the existence of strong vector saddle points for a generalized Nash two-person noncooperative games where the payoff function is vector-valued.
How to Cite this Article:
Adela Capǎtǎ, Existence of solutions of bilevel strong vector equilibrium problems and their applications, J. Nonlinear Var. Anal. 5 (2021), 371-389.