A descent method for Pareto optimization

DOI10.1016/0022-247X(82)90220-7zbMath0499.49015MaRDI QIDQ1171753

Christian Malivert

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

differential inclusioncritical setPareto optimafeasible velocitiesmodified descent method

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for problems in abstract spaces (49J27) Methods of reduced gradient type (90C52) Mathematical programming (90C99) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items (5)

A survey of vector optimization in infinite-dimensional spaces. II ⋮ Weak sharp efficiency and growth condition for vector-valued functions with applications ⋮ Stability of critical points for vector valued functions and Pareto efficiency ⋮ Some properties of efficient solutions for vector optimization ⋮ Conjugate convex operators

Cites Work

• Continuous selections. I
• Monotone trajectories of multivalued dynamical systems
• Lusternik-Schnirelman theory on Banach manifolds
• Monotone Invariant Solutions to Differential Inclusions
• Nonlinear Eigenvalue Problems and Group Invariance
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