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On Γ-convergence of pairs of dual functionals

U. Raitums

subject

SequencePure mathematicsDualityApplied MathematicsMathematical analysisRegular polygonBanach spaceDuality (optimization)Dual (category theory)Γ-convergenceΓ-convergenceConvergence (routing)Convex functionalsAnalysisMathematics

description

Abstract The paper considers a slightly modified notion of the Γ-convergence of convex functionals in uniformly convex Banach spaces and establishes that under standard coercitivity and growth conditions the Γ-convergence of a sequence of functionals { F j } to F ˜ implies that the corresponding sequence of dual functionals { F j ⁎ } converges in an analogous sense to the dual to F ˜ functional F ˜ ⁎ .

yearjournalcountryeditionlanguage
2011-04-01Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2010.10.033http://dx.doi.org/10.1016/j.jmaa.2010.10.033