Optimality Conditions in Lagrange Multiplier Type for Quasidifferentiable Optimization with Equality and Inequality Constraints
Guozheng Yan · Or Transactions · 1999
The relation between Fritz John necessary optimality condition in terms of quasidifferential and that in terms of Clarke generalized gradient for the inequality constrained nonsmooth optimization, is discussed. Two necessary optimality conditions in Lagrange multiplier type for a quasidifferentiable optimization with equality and inequality constraints, is proposed under mild assumptions. In these two optimality conditions, quasidifferentials and Clarke generalized gradients of equality constraint functions are employed, respectively.