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Subtrajectory and trajectory integrals of setvalued functions
Neutral functionaldifferential inclusions
3 other sections not shown
a.e. t e absolutely continuous function AC0r Banach space bounded C0r x L0r Cauchy sequence closed subset Comp Comp(R compact set compact subset conformable pair continuous with respect convex subset convex values Corollary Cr(Q defined denote fi(E finite fixed point theorem fixed x e function F Furthermore GF(t given Hence it follows IxKx last two variables Lebesgue Let F Let us observe Lipschitz continuous lower semicontinuous measurable set measure space metric space NFDI(D nonempty subsets numbers open ball open set optimal control pair of nonempty particular it follows proof of Lemma properties relatively weakly compact RxAC0r selector sequentially compact set H set-valued function Similarly Suppose G topological space uniformly integrable uniformly with respect virtue of Lemma weak topology weakly closed weakly compact weakly converging x e Kx