منابع مشابه
On the Nonlinear Complementarity Problem
Variational inequality theory besides being elegant, exciting and rich, also provides us a unified and natural framework to study a large class of linear and nonlinear problems arising in mathematical and engineering sciences. Equally important is the area of operations research known as complementarity theory, which has received much attention during the last twenty years. It has been shown by...
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We consider a generalized proximal point method (GPPA) for solving the nonlinear complementarity problem with monotone operators in R ' \ lt differs from the classical proximal point method discussed by Rockafellar for the problem offinding zeroes of monotone operators in the use of generalized distances, called (p-divergences, instead of the Euclidean one. These distances play not only a regul...
متن کاملThe Fold Complementarity Problem and the Order Complementarity Problem
We consider the Fold Complementarity Problem, which is one of the recent subjects in complementarity theory. It is a mathematical model used in economics in the study of distributive problems (cf. [25], [5]). A particular case is the k-Fold Complementarity Problem, studied using a variant of the notion of Z-function by A. Villar [25]. In this way, Villar obtained the solution of this problem as...
متن کاملOn the Solution of the Linear Complementarity Problem by the Generalized Accelerated Overrelaxation Iterative Method
In the present work, we determine intervals of convergence for the various parameters involved for what is known as the Generalized Accelerated Overrelaxation iterative method for the solution of the Linear Complementarity Problem. The convergence intervals found constitute sufficient conditions for the Generalized Accelerated Overrelaxation method to converge and are better than what have been...
متن کاملOn the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem
It has been an open question that whether the family of merit functions ψp (p > 1), the generalized Fischer-Burmeister (FB) merit function, associated to the second order cone is smooth or not. In this paper we answer it partly, and show that ψp is smooth for The author’s work is supported by National Young Natural Science Foundation (No. 10901058) and Guangdong Natural Science Foundation (No. ...
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ژورنال
عنوان ژورنال: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
سال: 1994
ISSN: 0334-2700,1839-4078
DOI: 10.1017/s0334270000009516