Equivalence of generalized mixed complementarity and generalized mixed least element problems in ordered spaces

Lu-Chuan Zeng, Qamrul Hasan Ansari, Jen‐Chih Yao · Optimization · 2008

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.

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