State Dependent Sweeping Process in p-Uniformly Smooth and q-Uniformly Convex Banach Spaces

Messaoud Bounkhel; Charles Castaing

doi:10.1007/s11228-011-0186-8

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State Dependent Sweeping Process in p-Uniformly Smooth and q-Uniformly Convex Banach Spaces

Journal article

Peer reviewed

State Dependent Sweeping Process in p-Uniformly Smooth and q-Uniformly Convex Banach Spaces

Messaoud Bounkhel and Charles Castaing

Set-valued and variational analysis, Vol.20(2), pp.187-201

01/06/2012

DOI: https://doi.org/10.1007/s11228-011-0186-8

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

We prove the existence of solutions for the state depending convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces via new recent results on proximal analysis in reflexive smooth Banach spaces.

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Title: State Dependent Sweeping Process in p-Uniformly Smooth and q-Uniformly Convex Banach Spaces
Creators - without role: Messaoud Bounkhel - King Saud University
Charles Castaing - University of Montpellier
Publication Details: Set-valued and variational analysis, Vol.20(2), pp.187-201
Publisher: Springer Nature
Number of pages: 15
Grant note: RGP-VPP-024 / King Saud University
Identifiers: 9948051408331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article