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Necessary optimality conditions of nondifferentiable multiobjective programming on Riemannian manifolds. (Chinese. English summary) Zbl 1174.90785

Summary: 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.

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming
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