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On the Equivalence of Extended Generalized Complementarity and Generalized Least-Element Problems |
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| Authors: | Q H Ansari T C Lai J C Yao |
| Institution: | (1) Department of Mathematics, Aligarh Muslim University, Aligarh, India;;(2) National Sun Yat-sen University, Kaohsiung, Taiwan, ROC;(3) College of Management, National Taiwan University, Taipai, Taiwan, ROC;(4) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, ROC |
| Abstract: | In this paper, we derive some equivalences of generalized nonlinear programs, generalized least-element problems, and extended generalized complementarity problems under certain regularity and growth conditions. We also generalize the notion of a Z-map for point-to-set maps. Our results extend recent results by Schaible and Yao (Ref. 1). |
| Keywords: | Strictly pseudomonotone maps Z-maps generalized nonlinear programs generalized least-element problems extended generalized complementarity problems generalized variational inequality problems |
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