Necessary Optimality Conditions of Nondifferentiable Multiobjective Programming on Riemannian Manifolds

Li U · Journal of Jilin University(Science Edition) · 2008

On the basis of the nonsmooth tools established on Riemannian manifolds,the nondifferentiable multiobjective optimization problems with equality and inequality constraints are extended from Euclidean space to Riemannian manifolds.Via Ekeland variational principle,the Fritz-John necessary conditions with generalized gradient formula for weak Pareto optimal solutions are derived.

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