论文信息 - Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem

Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem

The concepts of monotone pair of mappings and vector implicit complementarity problem (VICP) in ordered Banach spaces are introduced. Existence theorems for simultaneous vector variational inequalities (VVI) and VICP are proved.

J. Y. Fu

[1] Xiaoqi Yang,et al. Vector complementarity and minimal element problems , 1993 .

[2] Chen Guang-ya,et al. The vector complementary problem and its equivalences with the weak minimal element in ordered spaces , 1990 .

[3] G. Isac,et al. On the implicit complementarity problem in Hilbert spaces , 1985, Bulletin of the Australian Mathematical Society.

[4] Xiaoqi Yang. Vector variational inequality and its duality , 1993 .

[5] Jen-Chih Yao,et al. Variational and Generalized Variational Inequalities with Discontinuous Mappings , 1994 .

[6] F. Browder. Existence and approximation of solutions of nonlinear variational inequalities. , 1966, Proceedings of the National Academy of Sciences of the United States of America.