%0 Journal Article %T Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces %A Messaoud Bounkhel %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization. %K Uniformly smooth and uniformly convex Banach spaces %K state dependent sweeping process %K generalized projection %K duality mapping %U http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html