PARETO and NASH fronts as the limit case of the isoperimetric inequality in multiobjective optimization theory

What is it about?

The authors of the Article “Several examples of Application of NASH and PARETO Approaches to Multi-objective Structural Optimization with Uncertainties” confirm that the PARETO and NASH formulations lead the identical PARETO and NASH fronts. We examine these solutions from the viewpoint of inequali-ties theory and reveal the mathematical sense of the discovered PARETO and NASH fronts. The general conjecture could be formulated as follows. Consider multiobjective optimization problem, involving m

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