Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces | Zendy

Messaoud Bounkhel | Zendy

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Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces

Author(s) -

Messaoud Bounkhel

Publication year - 2012

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2012.1.27

Subject(s) - mathematics , uniformly convex space , banach space , regular polygon , order (exchange) , pure mathematics , subderivative , convex function , mathematical analysis , combinatorics , convex optimization , eberlein–šmulian theorem , lp space , geometry , finance , economics

In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces. In the present work we prove the same result, under a condition on the distance function to the images of the set-valued mapping. Our assumption is much simpler than the one used in the former paper.

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