Optimality theorems for linear fractional optimization problems involving integral functions defined on \(C^n [0,1]\): inequality constraints
Optimization Eruditorum, Volume 2, Issue 1, April 2025, Pages 46–55
GWI SOO KIM
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
MOON HEE KIM
College of General Education, Tongmyong University, Busan 48520, Korea
GUE MYUNG LEE
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
JEN-CHIH YAO
Center for General Education, China Medical University, Taichung 40447, Taiwan
Abstract
We consider a linear fractional optimization problem involving integral functions defined on \(C^n [0,1]\), which has a geometric constraint and inequality constraints and obtain optimality theorems for the problem which hold without any constraint qualification. Moreover, we characterize solution set for the problem in terms of sequential Lagrange multipliers of a known solution of the problem.
Cite this Article as
Gwi Soo Kim, Moon Hee Kim, Gue Myung Lee, and Jen-Chih Yao, Optimality theorems for linear fractional optimization problems involving integral functions defined on \(C^n [0,1]\): inequality constraints, Optimization Eruditorum, 2(1), 46–55, 2025