Abstract
In this paper, we introduce a new class of regularized nonconvex set-valued mixed variational inequalities where the underlying set is uniformly prox-regular. By using the auxiliary principle technique, we propose a predictor-corrector method for solving such class of nonconvex variational inequalities and study the strong convergence of the sequences generated by the proposed algorithm. As a consequence of our main results, we provide the correct version of algorithms and results presented in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1101-1119 |
| Number of pages | 19 |
| Journal | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas |
| Volume | 113 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Apr 2019 |
Bibliographical note
Publisher Copyright:© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature.
Keywords
- Auxiliary principle technique
- Convergence analysis
- Nonconvex set-valued variational problems
- Nonconvex sets
- Predictor-corrector method
- Prox-regularity
- Regularized nonconvex set-valued mixed variational inequalities
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
- Computational Mathematics
- Applied Mathematics