Geodesic
Stability Analysis of Partial Differential Set-Valued Variational Inequalities on Banach Spaces
Journal of convex analysis, Tome 27 (2020) no. 2, pp. 423-442
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We consider the partial differential set-valued variational inequality (PDSVI) on real Banach spaces. We give conditions for the existence and uniqueness of mild solution of the PDSVI, and establish closedness and continuity of the mild solution set mapping of the PDSVI. The proofs of the main results are based on the theory of semigroups, set-valued mappings, and variational inequality.
Classification : 49J40, 47J20, 49J53
Mots-clés : Partial differential set-valued variational inequality, stability, mild solution, continuity 
@article{JCA_2020_27_2_JCA_2020_27_2_a2,
     author = {W. Li and X. Wang},
     title = {Stability {Analysis} of {Partial} {Differential} {Set-Valued} {Variational} {Inequalities} on {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {423--442},
     year = {2020},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a2/}
}
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W. Li; X. Wang. Stability Analysis of Partial Differential Set-Valued Variational Inequalities on Banach Spaces. Journal of convex analysis, Tome 27 (2020) no. 2, pp. 423-442. http://geodesic.mathdoc.fr/item/JCA_2020_27_2_JCA_2020_27_2_a2/