Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces

Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces

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.

Bibliographic Details
Main Author: Messaoud Bounkhel
Format: Article
Language:English
Published: Texas State University 2012-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Uniformly smooth and uniformly convex Banach spaces
state dependent sweeping process
generalized projection
duality mapping
Online Access:http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html

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