Abstract
In this article, we derive some equivalences of generalized mixed non-linear programs, generalized mixed least-element problems, generalized mixed complementarity problems and generalized mixed variational inequality problems under certain regularity and growth conditions. We also generalize the notion of a Z-type map for point-to-set maps. Our results improve and extend recent results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 63-76 |
| Number of pages | 14 |
| Journal | Optimization |
| Volume | 58 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2009 |
Bibliographical note
Funding Information:In this research, L.-C. Zengh was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China and the Dawn Program Foundation in Shanghai while J.-C. Yao was partially supported by a grant from the National Science Council.
Keywords
- Generalized mixed complementarity problems
- Generalized mixed least-element problems
- Generalized mixed non-linear programs
- Generalized mixed variational inequality problems
- Strictly pseudomonotone-type maps
- Z-type maps
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
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