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Local cone approximations in optimization

Castellani M., Pappalardo M.

Control and Cybernetics

2007

Vol. 36, no 3

583-600

We show how to use intensively local cone approximations to obtain results in some fields of optimization theory such as optimality conditions, constraint qualifications, mean value theorems and error bound.

Two projection-type algorithms for pseudo-monotone variational inequalities

Lin G-H., Xia Z-Q.

Archives of Control Sciences

2000

Vol. 10, no. 3/4

157-165

Two projection-type algorithms, different from the ones presented by Solodov & Tseng (1996) and He (1997) in the computation of stepsize, for solving pseudo-monotone variational inequality problems are presented. It is shown that the algorithms are globally convergent and, in addition, they are convergent R-linearly or Q-linearly under some mild conditions.