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The Lipschitz continuity of solution mapping to parametric vector primal and dual Ky Fan in equalities in normed linear space is studied.The concepts of parameter vector primal and dual Ky Fan inequality and its efficient solutions are proposed, and the pseudo-monotonicity and strong quasiconvexity（quasi-concavity） of vector functions are introduced.The Lipschitz continuity optimality conditions of the solution mapping to parametric vector primal and dual Ky Fan inequalities are obtained by using the analysis method, and give an example to illustrate. [ABSTRACT FROM AUTHOR]

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Copyright of Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban) is the property of Zhongguo Xue shu qi Kan (Guang Pan Ban) Dian zi Za zhi She and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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Copyright of Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao is the property of Journal of Dalian University of Technology and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban) is the property of Zhongguo Xue shu qi Kan (Guang Pan Ban) Dian zi Za zhi She and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The Lipschitz continuity of solution mappings to parametric strong vector primal and dual equilibrium problems is studied in normed linear spaces.Th e concepts of efficient solution for these corresponding equilibrium problems are given,and the strong convexity(concavity) and monotonicity for vector func-tions are proposed.Theorems are established by using analytical method to give sufficient conditions for the Lipschitz continuity of solution mappings t o parametric strong vector primal and dual equilibrium problems. The research shows that the conclusion for Lipschitz continuity of solution mappings to parametric strong vector primal and dual equilibrium problems is unified. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao is the property of Journal of Dalian University of Technology and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban) is the property of Zhongguo Xue shu qi Kan (Guang Pan Ban) Dian zi Za zhi She and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)