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| Generalized Strongly Nonlinear Quasi-Complementarity Problems | |
| 作者姓名： | 李红梅 丁协平 |
| 摘 要： | ＧＥＮＥＲＡＬＩＺＥＤＳＴＲＯＮＧＬＹＮＯＮＬＩＮＥＡＲＱＵＡＳＩ－ＣＯＭＰＬＥＭＥＮＴＡＲＩＴＹＰＲＯＢＬＥＭＳＬｉＨｏｎｇ－ｍｅｉ（李红梅）ＤｉｎｇＸｉｅ－ｐｉｎｇ（丁协平）（ＳｉｃｈｕａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ），Ｃｈｅｎｇｄｕ（Ｒｅ... |
| 关 键 词： | generalized strongly nonlinear quasi-complementarity problem Hilbert space cone. H-Lipschitz continuous mapping with re-spect to g ψ-strongly monotone mapping with respect to g |
| 收稿时间： | 17 October 1992 |
Generalized strongly nonlinear quasi-complementarity problems |
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| Hong-mei Li,Xie-ping Ding.Generalized Strongly Nonlinear Quasi-Complementarity Problems[J].Applied Mathematics and Mechanics(English Edition),1994,15(4):307-315. | |
| Authors: | Hong-mei Li Xie-ping Ding |
| Institution: | Sichuan Normal University |
| Abstract: | Using the algorithm in this paper, we prove the existence of solutions to the gene-ralized strongly nonlinear quasi-complementarity problems and the convergence of theiterative sequences generated by the algorithm. Our results improve and extend thecorresponding results of Noor and Chang-Huang. Moreover, a more general iterativealgorithm for finding the approximate solution of generalized strongly nonlinear quasi-complementarity problems is also given. It is shown that the approximate solution ob-tained by the iterative scheme converges to the exact solution of this quasi-com-plementarity problem. |
| Keywords: | generalized strongly nonlinear quasi-complementarity problem Hilbert space cone H-Lipschitz continuous mapping with respect tog Ψ -strongly monotone mapping with respect tog |
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