Stampacchia variational inequality with weak convex mappings

In this paper, the concept of weak convex set-valued mapping is introduced and various conditions for a set-valued mapping to be weak convex are given. Then, existence theorems for the Stampacchia variational inequality problem are established, when the involved mapping is weak convex.

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Bibliographic Details
Published in:Optimization 2018-10, Vol.67 (10), p.1571-1577
Main Author: Balaj, Mircea
Format: Article
Language:English
Subjects:
Existence theorems
generalized KKM mapping
Mapping
Portfolio management
Stampacchia variational inequality
weak convex set-valued mapping
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Description
Summary:In this paper, the concept of weak convex set-valued mapping is introduced and various conditions for a set-valued mapping to be weak convex are given. Then, existence theorems for the Stampacchia variational inequality problem are established, when the involved mapping is weak convex.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2018.1482299