Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
- /
- Pages.379-390
- /
- 2005
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
ANOTHER APPROACH TO MULTIOBJECTIVE PROGRAMMING PROBLEMS WITH F-CONVEX FUNCTIONS
- LIU SANMING (Department of Applied Mathematics, Dalian University of Technology) ;
- FENG ENMIN (Department of Applied Mathematics, Dalian University of Technology)
- Published : 2005.01.01
Abstract
In this paper, optimality conditions for multiobjective programming problems having F-convex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, an F-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of a saddle point are given.
Keywords
- Efficient solution;
- F-convex function;
- vector valued saddle point;
- multiobjective programming;
- vector valued F-Lagrange function