A topological approach for vector quasi-variational inequalities with set-valued functions

The focus of this paper is to employ a new topological condition, based on admissibility of the function space topology, to provide existence results for a generalized vector quasi-variational inequality problem and its stronger form as well. The inequality problems involve a set-valued function, an...

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Bibliographic Details
Published in:Computational management science 2023-12, Vol.20 (1), p.21, Article 21
Main Authors: Sonia, Sarma, Ratna Dev
Format: Article
Language:English
Subjects:
Business and Management
Convex analysis
Convexity
Function space
Mapping
Mathematics
Operations Research/Decision Theory
Optimization
Original Paper
Topology
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Summary:The focus of this paper is to employ a new topological condition, based on admissibility of the function space topology, to provide existence results for a generalized vector quasi-variational inequality problem and its stronger form as well. The inequality problems involve a set-valued function, and the existence results are proved without using any monotonicity or convexity assumptions on the functions. Further, the solution sets of the inequality problems are shown to be closed and compact.
ISSN:1619-697X
1619-6988
DOI:10.1007/s10287-023-00457-z