28. Januar 2026
Frau Sixuan Bai
Titel: Generalized D-Gap Functions and Error Bound Results for Time-Dependent Variational-Hemivariational Inequalities
Abstract:
This paper first introduces a novel class of generalized difference gap (D gap) functions derived from locally Lipschitz continuous functions, aiming to equivalently transform time-dependent variational-hemivariational inequalities into unconstrained optimization formulations. Based on this, we further establish that the generalized D-gap function exhibits local Lipschitz continuity and coercivity. Finally, under the conditions of coercivity and local ξ-monotonicity, we present local and global error bound results for the generalized D-gap function, which provides critical theoretical support for the design and analysis of optimization algorithms.