Title of article :
Wolfe Type Duality For Nonsmooth Optimization Problems With Vanishing Constraints
Author/Authors :
Ghobadzadeh, Marjan Payame Noor University, Tehran , kanzi, Nader Payame Noor University, Tehran , Fallahi, Kamal Payame Noor University, Tehran
Abstract :
In this paper, we formulate and study the duality problems
in Wolfe type for optimization problems with vanishing constraints in
nonsmooth case, whereas Mishra et al. (Ann Oper Res 243(1):249–272,
2016) investigated them in smooth case. Also, we derive the weak,
strong and strict converse duality results for the problems with Lipschitzian
functions utilizing the Clarke subdifferential
Keywords :
Vanishing constraints , Duality results , Optimality conditions , Clarke subdifferential , Constraint qualification
Journal title :
Journal of Mathematical Extension(IJME)
