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First and Second Order Convex Sweeping Processes in Reflexive Smooth Banach Spaces
Journal article   Peer reviewed

First and Second Order Convex Sweeping Processes in Reflexive Smooth Banach Spaces

Messaoud Bounkhel and Rabab Al-Yusof
Set-valued and variational analysis, Vol.18(2), pp.151-182
01/06/2010
DOI: https://doi.org/10.1007/s11228-010-0134-z

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we establish new characterizations of the normal cone of closed convex sets in reflexive smooth Banach spaces and then we use those results to prove the existence of solutions for first order convex sweeping processes and their variants in reflexive smooth Banach spaces. The case of second order convex sweeping processes is also studied.

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