Mathematical programs with vanishing constraints constitute a new class of difficult optimization problems with important applications in optimal topology design of mechanical structures. Vanishing constraints usually violate standard constraint qualifications, which gives rise to serious...

The problem of minimizing $${\tilde f=f+p}$$ over some convex subset of a Euclidean space is investigated, where f(x) = x T Ax + b T x is strictly convex and |p| is only assumed to be bounded by some positive number s. It is shown that the function $${\tilde f}$$ is strictly outer γ-convex...

The problem of minimizing <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${\tilde f=f+p}$$</EquationSource> </InlineEquation> over some convex subset of a Euclidean space is investigated, where f(x) = x <Superscript> T </Superscript> Ax + b <Superscript> T </Superscript> x is strictly convex and |p| is only assumed to be bounded by some positive number s. It is shown that the function <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$${\tilde f}$$</EquationSource> </InlineEquation> is strictly outer...</equationsource></inlineequation></superscript></superscript></equationsource></inlineequation>

Sustainable plant factory systems are able to provide steady and high-quality plants to markets while using less labor, water, nutrition, and pesticides. A plant factory is a controlled environment for plant production systems with artificial light, temperature, humidity, carbon dioxide, water...