Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency

Do Van Luu; Nguyen Lam Tung

Abstract

Second-order Fritz John primal and dual necessary conditions for weak efficiency of multiobjective fractional programs involving equality, inequality and set constraints are established. With a constraint qualification of Mangasarian-Fromovitz type, Kuhn-Tucker necessary conditions are provided as well as sufficient conditions for weak efficiency.

Author information

Contact details are reproduced from the original publication and may be historical.

Do Van Luu

(1) TIMAS, Thang Long University, Hanoi, Vietnam
(2) Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

dvluu@math.ac.vn

Nguyen Lam Tung

Mathematics Department, Thang Long University, Hanoi, Vietnam

nguyenlamtung01@gmail.com

Keywords

Multiobjective fractional programming
local weak efficient solution
Fritz John and Kuhn-Tucker necessary conditions

Mathematics Subject Classification

90C46, 90C29, 49J52

Suggested citation

D. V. Luu, N. L. Tung. “Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency.” Journal of Convex Analysis 31 (2024), No. 3, 947–958.