scientific article; zbMATH DE number 1755831

zbMath0994.49010MaRDI QIDQ4535732

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Publication date: 23 June 2002

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zbMATH Keywords

stabilityLagrange multipliersgrowth conditionsperformance functionconvex like functionsepi-convexitymeasurable integralsvector valued integral functional

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Methods involving semicontinuity and convergence; relaxation (49J45) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (8)

Lipschitzian properties of integral functionals on Lebesgue spaces \(L_p, 1 \leqslant p < \infty\) ⋮ Subdifferentiation of integral functionals ⋮ Are dualities appropriate for duality theories in optimization? ⋮ Characterizing existence of minimizers and optimality to nonconvex quadratic integrals ⋮ Minimization interchange theorem on posets ⋮ The Fréchet and limiting subdifferentials of integral functionals on the spaces \(L_1(\Omega ,E)\) ⋮ Calmness properties and contingent subgradients of integral functionals on Lebesgue spaces \(L_{p }, 1 \leqslant p < \infty \) ⋮ Necessary and sufficient conditions for the interchange between infimum and the symbol of integration

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