Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6895283 | European Journal of Operational Research | 2018 | 17 Pages |
Abstract
For a variational inequality problem with a pseudomonotone mapping F, we characterize the weak sharpness of its solution set C* without using gap functions. When the mapping F is also constant on C*, the characterizations of weak sharpness of C* become more succinct. As an example, a pseudomonotone+ mapping on C* is shown to be constant on C*. Consequently the weak sharpness of C* can further be described by a Gâteaux differentiable function which itself characterizes the pseudomonotonicity+ of F on C*. It turns out that several existing relevant results with differentiable gap functions can be obtained from ours.
Related Topics
Physical Sciences and Engineering
Computer Science
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Authors
Zili Wu,