Optimization Eruditorum

Electronic ISSN: 3008-1521

DOI: 10.69829/oper

Solution sets of linear fractional optimization problems involving integral functions

Optimization Eruditorum, Volume 1, Issue 1, June 2024, Pages 11–16

MOON HEE KIM

College of General Education, Tongmyong University, Busan 48520, Korea

GWI SOO KIM

Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea

GUE MYUNG LEE

Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea


Abstract

We consider a linear fractional optimization problem (FP) involving integral function defined on \(C^n [0, 1]\), and then characterize solution sets for the problem (FP) in terms of sequential Lagrange multipliers of a known solution of (FP). Moreover, we give an example illustrating our characterization of solution set.


Cite this Article as

Moon Hee Kim, Gwi Soo Kim and Gue Myung Lee, Solution sets of linear fractional optimization problems involving integral functions, Optimization Eruditorum, 1 (2024), 11–16