Abstract
Stampacchia and Minty type generalized implicit variational inequality problems are considered. We extended the notion of dense pseudomonotonicity for multivalued maps and established several existence results for solutions of these problems in the setting of segment-dense sets. We also studied the existence of solutions of Minty type generalized implicit quasi-variational inequality problems. Some particular cases are also studied. It is shown that our results contain several existing results in the literature as special cases.
| Original language | English |
|---|---|
| Pages (from-to) | 1-19 |
| Number of pages | 19 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 61 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 15 Apr 2005 |
Bibliographical note
Funding Information:In this research, the first two author were supported by the National Science Council of the Republic of China.
Keywords
- C-quasiconvexity
- Dense pseudomontonicity
- Segment-dense sets
- Stampacchia (Minty) type implicit variational inequalities
- Upper (lower) semicontinuity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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