\] Let $X$ be a Hausdorff locally convex space, $f:X\to{{]}{-\infty},+\infty]}$ be lsc, ${\bar{x}}\in{{\rm dom} \kern.00em}f$ and $u\in X$ such that $f$ is radially accessible at ${\bar{x}}$ from $u$. Then, there is a sequence $\mu_n\searrow 0$ such that $f({\bar{x}}+\mu_n u)\to f({\bar{x}})$ and $$\label{applimvi0} f^r_+({\bar{x}};u)\le \liminf_{n\to +\infty}f^r({\bar{x}}+\mu_n u;u).$$ 