Higher-Order Efficiency Conditions for Continuously Directional Differentiable Vector Equilibrium Problem with Constraints

• Published in: Bulletin of the Iranian Mathematical Society Vol. 48; no. 4; pp. 1805 - 1828
• Main Author: Van Su, Tran
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.08.2022
• Subjects: Mathematics; Mathematics and Statistics; Original Paper; Critical directions; 9046C; KKT type higher-order optimality conditions; Efficient solution types; 49J52; Higher-order directional derivatives; 90C29; 90C48; Continuously directional differentiable vector equilibrium problem with constraints; 91B50

In this paper, we give optimality conditions of higher-order for a continuously directional differentiable vector equilibrium problem with constraints. First, we obtain some important characterizations and existence results for a m -times continuously directional differentiable function( m is a posi...