Some geometric properties related to fixed point theory in Cesàro spaces

It is proved that for any $p\in(1,\infty)$ the Cesàro sequence space ces$_p$ is ($kNUC$) for any natural number $k$ and it has the uniform Opial property. Moreover, weakly convergent sequence coefficient of those spaces is also calculated. It is also proved that for $1<p<\infty$ the spaces ces$_p$ have property ($L$) and weak uniform normal structure. The packing rate of those spaces is also calculated.