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- W4287995087 abstract "In this paper, we prove the following result: Let $(H,langlecdot,cdotrangle)$ be a real Hilbert space, $B$ a ball in $H$ centered at $0$ and $Phi:Bto H$ a $C^{1,1}$ function, with $Phi(0)neq 0$, such that the function $xto langle Phi(x),x-yrangle$ is weakly lower semicontinuous in $B$ for all $yin B$. Then, for each $r>0$ small enough, there exists a unique point $x^*in H$, with $|x^*|=r$, such that $$max{langle Phi(x^*),x^*-yrangle, langle Phi(y),x^*-yrangle}< 0$$ for all $yin Hsetminus {x^*}$, with $|y|leq r$." @default.
- W4287995087 created "2022-07-26" @default.
- W4287995087 creator A5066441613 @default.
- W4287995087 date "2019-12-12" @default.
- W4287995087 modified "2023-09-25" @default.
- W4287995087 title "A remark on variational inequalities in small balls" @default.
- W4287995087 doi "https://doi.org/10.48550/arxiv.1912.05798" @default.
- W4287995087 hasPublicationYear "2019" @default.
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