Applications of Ekeland's principle to locally Lipschitzian functionals
Applications of Ekeland's principle to locally Lipschitzian functionals
The authors take into consideration the set \(E_{\varepsilon}\) of the points satisfying Ekeland's variational principle for a function \(f:D\to R\cup\{+\infty\},\) where \(D\) is a subset of a Banach space. More precisely, they give a sufficient condition under which the closed convex hull of \(E_{\varepsilon}\) coincides with the whole space and then present some application of this result to locally Lipschitzian functionals.
- University of Messina Italy
locally Lipschitzian functionals, Methods involving semicontinuity and convergence; relaxation, Existence theories for problems in abstract spaces, Ekeland's variational principle, Ekeland's variational principle; convex hull; locally Lipschitzian functionals
locally Lipschitzian functionals, Methods involving semicontinuity and convergence; relaxation, Existence theories for problems in abstract spaces, Ekeland's variational principle, Ekeland's variational principle; convex hull; locally Lipschitzian functionals
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