A continuous gradient-like dynamical approach to Pareto-optimization in Hilbert spaces

DOI10.1007/s11228-013-0245-4zbMath1317.90261OpenAlexW1981784111MaRDI QIDQ456993

Xavier Goudou, Hedy Attouch

Publication date: 26 September 2014

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-013-0245-4

zbMATH Keywords

cooperative gamesasymptotic behaviormultiobjective optimizationsteepest descentPareto optimizationcontinuous gradient systemsPareto critical

Mathematics Subject Classification ID

Decision theory (91B06) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Cooperative games (91A12) Management decision making, including multiple objectives (90B50) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Decision theory for games (91A35) Economic dynamics (91B55)

Related Items (4)

Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator ⋮ Fast inertial dynamic algorithm with smoothing method for nonsmooth convex optimization ⋮ A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions ⋮ Complexity of gradient descent for multiobjective optimization

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