Sufficiency and Duality in Nonsmooth Multiobjective Programming Problem under Generalized Univex Functions
Keyword(s):
Type I
◽
We consider a nonsmooth multiobjective programming problem where the functions involved are nondifferentiable. The class of univex functions is generalized to a far wider class of (φ,α,ρ,σ)-dI-V-type I univex functions. Then, through various nontrivial examples, we illustrate that the class introduced is new and extends several known classes existing in the literature. Based upon these generalized functions, Karush-Kuhn-Tucker type sufficient optimality conditions are established. Further, we derive weak, strong, converse, and strict converse duality theorems for Mond-Weir type multiobjective dual program.
2019 ◽
Vol 1324
◽
pp. 012018
2006 ◽
Vol 74
(3)
◽
pp. 369-383
◽
2005 ◽
Vol 2005
(2)
◽
pp. 175-180
◽
2009 ◽
Vol 46
(2)
◽
pp. 207-216
◽