TY - JOUR
T1 - Unbounded perturbation of history-dependent evolution inclusion with difference of two subdifferentials
AU - Liu, Zhenhai
AU - Timoshin, Sergey A.
AU - Yuan, Ze
N1 - Publisher Copyright:
© Heldermann Verlag.
PY - 2025
Y1 - 2025
N2 - We consider a perturbed hemivariational inequality with an additional negative subdifferential term and history-dependent operators. The perturbation is represented by a multivalued mapping, and its values are not assumed to be convex or bounded. We prove that there is a solution to our problem and establish a relaxation-approximation result for it using a localized version of Hausdorff-Lipschitz continuity adapted to the unbounded case.
AB - We consider a perturbed hemivariational inequality with an additional negative subdifferential term and history-dependent operators. The perturbation is represented by a multivalued mapping, and its values are not assumed to be convex or bounded. We prove that there is a solution to our problem and establish a relaxation-approximation result for it using a localized version of Hausdorff-Lipschitz continuity adapted to the unbounded case.
KW - difference of subdifferentials
KW - hemivariational inequality
KW - history-dependent operators
KW - truncated Lipschitz condition
KW - Unbounded perturbation
UR - http://www.scopus.com/inward/record.url?scp=105006549141&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:105006549141
SN - 0944-6532
VL - 35
SP - 545
EP - 564
JO - Journal of Convex Analysis
JF - Journal of Convex Analysis
IS - 2
ER -