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A classical result of Ekeland, based on an idea of Ghoussoub and Preiss, asserts that under technical conditions, Cerami sequences for a real valued functional $${\Phi}$$ on a Banach space X can be found in the vicinity of suitable closed subsets W of X. In this statement, “vicinity” is defined by means of an associated geodesic distance on X. Recently, under virtually the same hypotheses, Stuart...
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