A RANGE PROPERTY RELATED TO NON-EXPANSIVE OPERATORS

作者:Ricceri Biagio*
来源:Mathematika, 2014, 60(1): 232-236.
DOI:10.1112/S0025579313000120

摘要

In this paper, we prove that if X is an infinite-dimensional real Hilbert space and J : X -> R is a sequentially weakly lower semicontinuous C-1 functional whose Gateaux derivative is non-expansive, then there exists a closed ball B in X such that (id + J') (B) intersects every convex and dense subset of X.

  • 出版日期2014-1

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