Further Application ofH-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions

Wei-ZheGu; Mohamed A.Tawhid

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Further Application ofH-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions

机译：基于广义Fisher-Burmeister函数的H可微性在广义互补问题上的进一步应用

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We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) wherefandgareH-differentiable. We describeH-differentials of some GCP functions based on the generalized Fisher-Burmeister function and its generalizations, and their merit functions. Under appropriate conditions on theH-differentials offandg, we show that a local/global minimum of a merit function (or a “stationary point” of a merit function) is coincident with the solution of the given generalized complementarity problem. When specializing GCP(f,g)to the nonlinear complementarity problems, our results not only give new results but also extend/unify various similar results proved forC1, semismooth, and locally Lipschitzian.

机译：我们基于广义Fisher-Burmeister函数及其广义化研究了非光滑广义互补问题，表示为GCP（f，g），其中fandgareH可微。我们基于广义Fisher-Burmeister函数及其泛化来描述某些GCP函数的H微分，以及它们的优点函数。在适当的条件下，关于H差offandg，我们证明了价值函数的局部/全局最小值（或价值函数的“平稳点”）与给定的广义互补问题的解是一致的。当将GCP（f，g）专门用于非线性互补问题时，我们的结果不仅给出新结果，而且扩展/统一了对C1，半光滑和局部Lipschitzian证明的各种相似结果。

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《Abstract and applied analysis》 |2014年第2期|共11页
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Wei-ZheGu; Mohamed A.Tawhid;
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1. Further Application ofH-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions [J] . Wei-ZheGu, Mohamed A.Tawhid Abstract and applied analysis . 2014,第2期

机译：基于广义Fisher-Burmeister函数的H可微性在广义互补问题上的进一步应用
2. SMOOTHING NEWTON ALGORITHM BASED ON A REGULARIZED ONE-PARAMETRIC CLASS OF SMOOTHING FUNCTIONS FOR GENERALIZED COMPLEMENTARITY PROBLEMS OVER SYMMETRIC CONES [J] . Xiao-Hong Liu, Wei-Zhe Gu Journal of industrial and management optimization . 2010,第2期

机译：对称锥广义广义互补问题的基于正则化一参数类光滑函数的光滑牛顿算法
3. Generalized Vector Variational Inequality Problem,Generalized Vector Complementarity Problem in Hilbert Spaces, Riemannian n—Manifold,S~n and Ordered Topological Vector Spaces:A Study Using Fixed Point Theorem and Homotopy Function [J] . Prasanta Kumar Das, Susanta Kumar Mohanta Advances in nonlinear variational inequalities . 2009,第2期

机译：Hilbert空间，黎曼n-Manifold，S〜n和有序拓扑向量空间中的广义向量变分不等式问题，广义向量互补问题：使用不动点定理和同伦函数的研究
4. Error Bound for Generalized Linear Complementarity Problem Over an Affine Subspace and Its Applications [C] . Hongchun Sun The Second International Joint Conference on Computational Science and Optimization(CSO 2009)（2009 国际计算科学与优化会议）论文集 . 2009

机译：仿射子空间上广义线性互补问题的误差界及其应用
5. The generalized linear complementarity problem and its applications [D] . Ebiefung, Aniekan Asukwo 1991

机译：广义线性互补问题及其应用
6. Specific Reaction Parameter Density Functional Based on the Meta-Generalized GradientApproximation: Application to H2 + Cu(111) and H2 + Ag(111) [O] . EgidiusW. F. Smeets, Johannes Voss, Geert-Jan Kroes, -1

机译：基于广义广义梯度的特定反应参数密度泛函近似值：适用于H2 + Cu（111）和H2 + Ag（111）
7. Further Application ofH-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions [O] . Wei-Zhe Gu, Mohamed A. Tawhid 2014

机译：基于广义Fisher-Burmeister函数的互相互补问题的进一步应用

Further Application ofH-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions

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