Essential component and essential optimum solution of optimization problems

DOI10.1023/A:1021740709876zbMath0937.90128OpenAlexW118173050MaRDI QIDQ1807825

Qun Luo

Publication date: 14 June 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021740709876

zbMATH Keywords

lower semicontinuous functionsessential componentessential optimum solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Mathematical programming (90C99)

Related Items (12)

Generic stability of the solution mapping for set-valued optimization problems ⋮ On essential sets and essential components of efficient solutions for vector optimization problems ⋮ Stability of weakly Pareto-Nash equilibria and Pareto-Nash equilibria for multiobjective population games ⋮ Essential stability in games with endogenous sharing rules ⋮ Essential stability in games with infinitely many pure strategies ⋮ Essential stability in set optimization ⋮ Stability analysis for generalized semi-infinite optimization problems under functional perturbations ⋮ Characterization of essential stability in lower pseudocontinuous optimization problems ⋮ On essential stable sets of solutions in set optimization problems ⋮ A note on essential components and essential weakly efficient solutions for multiobjective optimization problems ⋮ On the stability of the solution for multiobjective generalized games with the payoffs perturbed ⋮ Essential stability in unified vector optimization

Cites Work

• Essential weak efficient solution in multiobjective optimization problems
• Sensitivity analysis in vector optimization
• On a generic optimization theorem of Petar Kenderov

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