Global Error for Generalized Complementarity Problems based on Generalized Fisher-Burmeister Function

2016 ◽  
Vol 10 (1) ◽  
pp. 135-142
Author(s):  
Mohamed A. Tawhid ◽  
Wei-Zhe Gu
Keyword(s):  
Complementarity Problems ◽  
Global Error ◽  
Generalized Complementarity Problems

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

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Wei-Zhe Gu ◽  
Mohamed A. Tawhid
Keyword(s):  
Stationary Point ◽  
Complementarity Problem ◽  
Global Minimum ◽  
Complementarity Problems ◽  
Merit Function ◽  
Merit Functions ◽  
Generalized Complementarity Problem ◽  
Nonlinear Complementarity ◽  
Generalized Complementarity Problems ◽  
The Given

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.

Centers of Monotone Generalized Complementarity Problems

1997 ◽  
Vol 22 (4) ◽  
pp. 969-976 ◽  
Author(s):  
Masayuki Shida ◽  
Susumu Shindoh ◽  
Masakazu Kojima
Keyword(s):  
Complementarity Problems ◽  
Generalized Complementarity Problems

scholarly journals Strict feasibility of generalized complementarity problems

2006 ◽  
Vol 81 (1) ◽  
pp. 15-20 ◽  
Author(s):  
Y. R. He ◽  
K. F. Ng
Keyword(s):  
Complementarity Problems ◽  
Monotone Mappings ◽  
Solution Sets ◽  
Strict Feasibility ◽  
Generalized Complementarity Problems ◽  
Pseudomonotone Mappings ◽  
Feasible Points ◽  
Boundedness Of Solution

AbstractThe existence of strictly feasible points is shown to be equivalent to the boundedness of solution sets of generalized complementarity problems with stably pseudomonotone mappings. This generalizes some known results in the literature established for complementarity problems with monotone mappings.

Generalized -complementarity problems in Banach spaces

2008 ◽  
Vol 68 (12) ◽  
pp. 3828-3840 ◽  
Author(s):  
Nan-jing Huang ◽  
Jun Li ◽  
Donal O’Regan
Keyword(s):  
Banach Spaces ◽  
Complementarity Problems ◽  
Generalized Complementarity Problems
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