Prox-Regular Integro-Differential Sweeping Process

Sarra Gaouir (), Tahar Haddad () and Lionel Thibault ()
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Sarra Gaouir: Université Mohammed Seddik Benyahia
Tahar Haddad: Université Mohammed Seddik Benyahia
Lionel Thibault: Université de Montpellier

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 2, No 14, 1413-1438

Abstract: Abstract The present paper analyzes and provides the existence of solutions to integro-differential sweeping processes involving perturbations with multimappings. The closed moving sets describing the processes are non-convex and only assumed to be prox-regular sets.

Keywords: Sweeping process; Voltera-type integral; Normal cone; Proximal normal; Hypomonotonicity; 49J40; 47J20; 74M15; 74M10; 74G25 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02472-9

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