WebMar 29, 2024 · A measure of non-reflexivity of Banach spaces. γ ( X) = sup { lim n lim m x m ∗, x n − lim m lim n x m ∗, x n : ( x n) n is a sequence in B X, ( x m ∗) m is a sequence in B X ∗ and all the involved limits exist }. Obviously, γ ( X) = 0 if and only if X is reflexive. WebJul 31, 2024 · Naturally, in infinite-dimensional reflexive Banach spaces, it is worth considering whether we could define a new strict feasibility for the bifunction variational inequality and further study the relationship between such the strict feasibility and nonemptiness and boundedness of its solution set.
Nonlinear Strict Cone Separation Theorems in Real Reflexive …
WebOct 8, 2024 · (3) The result discussed in this article extends and generalizes the results of [2,19,21,29,41,48] from Hilbert spaces and 2-uniformly convex Banach spaces to reflexive Banach spaces. WebJul 20, 2010 · Abstract This paper is devoted to the stability analysis for a class of Minty mixed variational inequalities in reflexive Banach spaces, when both the mapping and the constraint set are perturbed. Several equivalent characterizations are given for the Minty mixed variational inequality to have nonempty and bounded solution set. buch systemische supervision
Eberlein–Šmulian theorem - Wikipedia
WebS. Reich and S. Sabach, A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces, J. Nonlinear Convex Anal., 10 (2009), pp. 471–485. ISI. Google Scholar. 34. S. Reich and S. Sabach, Two strong convergence theorems for a proximal method in reflexive Banach spaces, Numer. Funct. Anal. WebIn mathematics, the bounded inverse theorem (or inverse mapping theorem) is a result in the theory of bounded linear operators on Banach spaces.It states that a bijective bounded linear operator T from one Banach space to another has bounded inverse T −1.It is equivalent to both the open mapping theorem and the closed graph theorem. extended warranty recliner review