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A characterization of generalized saddle points for vector-valued functions via scalarization

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Publication:1841775
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zbMath0956.90507MaRDI QIDQ1841775

Tamaki Tanaka

Publication date: 18 February 2001

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)



Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) 2-person games (91A05)


Related Items

Duality and saddle-points for convex-like vector optimization problems on real linear spaces ⋮ Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions ⋮ Lagrange multipliers and saddle points in multiobjective programming ⋮ Some minimax theorems of set-valued maps and their applications ⋮ Saddle points and scalarizing sets in multiple objective linear programming ⋮ Saddle points criteria in nondifferentiable multiobjective programming with \(V\)-invex functions via an \(\eta \)-approximation method ⋮ Two types of minimax theorems for vector-valued functions ⋮ Existence theorems of \(\varepsilon\)-cone saddle points for vector-valued mappings ⋮ The study of Pareto equilibria for multiobjective games by fixed point and Ky Fan minimax inequality methods



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