Title :
An Analysis of Some Dual Problems for (0, Q) Invexity-Type Nonlinear Programming Problems
Author :
Sanming Liu ; Zhijie Wang
Author_Institution :
Dept. of Math. & Phys., Shanghai Dianji Univ., Shanghai, China
Abstract :
In this paper, mathematical programming problems involving (0, Q) in vex functions with respect to eta are considered. Lagrange, Fenchel and Fenchel-Lagrange dual optimization problems are derived by means of distinct perturbations of the primal problem and studied. For the various dual problems, equality and inequality relations between the optimal values are verified under appropriate assumptions.
Keywords :
nonlinear programming; (0,Q)-invex functions; (0,Q)-invexity-type nonlinear programming problems; Fenchel-Lagrange dual optimization problems; dual problems; equality relations; inequality relations; mathematical programming problems; Convex functions; Educational institutions; Electronic mail; Mathematical programming; Programming; Vectors; Conjugate duality; Invexity; Mathematical programming; Optimality conditions;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2014 Seventh International Joint Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-5371-4
DOI :
10.1109/CSO.2014.55
