Back to Search
Start Over
Stability analysis for set-valued inverse mixed variational inequalities in reflexive Banach spaces.
- Source :
-
Journal of Inequalities & Applications . 11/20/2023, Vol. 2023 Issue 1, p1-20. 20p. - Publication Year :
- 2023
-
Abstract
- This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the mapping and the constraint set are perturbed simultaneously by two parameters. Several equivalence characterizations are given for SIMVIs to have nonempty and bounded solution sets. Based on the equivalence conditions, under the premise of monotone mappings, the stability result for the SIMVIs is obtained in the reflexive Banach space. Furthermore, to illustrate the results, an example of the traffic network equilibrium control problem is provided at the end of this paper. The results presented in this paper generalize and extend some known results in this area. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*COMPUTER network traffic
*THERMODYNAMIC control
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2023
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 173761415
- Full Text :
- https://doi.org/10.1186/s13660-023-03060-7