Strong vector F-complementary problem and least element problem of feasible set

Abstract In this paper we introduce several classes of strong vector F -complementary problems and give some existence results for these problems in Banach spaces. We also discuss the least element problems of feasible sets and present their relations with the strong vector F -complementary problems.

[1]  Jen-Chih Yao,et al.  On the Generalized Vector Variational Inequality Problem , 1997 .

[2]  Jen-Chih Yao,et al.  Generalized Vector Variational Inequalities , 1997 .

[3]  Jen-Chih Yao,et al.  On vector variational inequalities , 1996 .

[4]  S. Itoh,et al.  Variational inequalities and complementarity problems , 1978 .

[5]  Nicolas Hadjisavvas,et al.  Existence theorems for vector variational inequalities , 1996, Bulletin of the Australian Mathematical Society.

[6]  G. Yuan,et al.  Generalized variational inequalitites and its applications , 1997 .

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

[8]  George Xian-Zhi Yuan,et al.  KKM Theory and Applications in Nonlinear Analysis , 1999 .

[9]  A. H. Siddiqi,et al.  On vector variational inequalities , 1995 .

[10]  R. C. Riddell,et al.  Equivalence of Nonlinear Complementarity Problems and Least Element Problems in Banach Lattices , 1981, Math. Oper. Res..

[11]  J. Y. Fu Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem , 1997 .

[12]  F. Giannessi Vector Variational Inequalities and Vector Equilibria , 2000 .

[13]  K. Fan A generalization of Tychonoff's fixed point theorem , 1961 .

[14]  Do Sang Kim,et al.  Generalized vector variational inequality , 1996 .

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

[16]  Zhang Zhong,et al.  The F-Complementarity Problem and its Equivalence with the Least Element Problem , 2001 .

[17]  G. Chen Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem , 1992 .

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