On the Existence of Solutions to Vector Complementarity Problems

2000 ◽  
pp. 87-95 ◽  
Author(s):  
Guang-ya Chen ◽  
Xiao Qi Yang
Keyword(s):  
Existence Of Solutions ◽  
Complementarity Problems ◽  
Vector Complementarity Problems

scholarly journals Existence Results for Vector Mixed Quasi-Complementarity Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Suhel Ahmad Khan ◽  
Naeem Ahmad
Keyword(s):  
Variational Inequality ◽  
Banach Spaces ◽  
Variational Inequality Problem ◽  
Existence Of Solutions ◽  
Complementarity Problems ◽  
Existence Results ◽  
Variational Inequality Problems ◽  
Inequality Problem ◽  
Quasi Variational Inequality

We introduce strong vector mixed quasi-complementarity problems and the corresponding strong vector mixed quasi-variational inequality problems. We establish equivalence between strong mixed quasi-complementarity problems and strong mixed quasi-variational inequality problem in Banach spaces. Further, using KKM-Fan lemma, we prove the existence of solutions of these problems, under pseudomonotonicity assumption. The results presented in this paper are extensions and improvements of some earlier and recent results in the literature.

scholarly journals Generalized strongly set-valued nonlinear complementarity problems

1999 ◽  
Vol 22 (3) ◽  
pp. 597-604 ◽  
Author(s):  
Nan-Jing Huang ◽  
Yeol Je Cho
Keyword(s):  
Existence Of Solutions ◽  
Complementarity Problems ◽  
Iterative Algorithms ◽  
Nonlinear Complementarity Problems ◽  
Nonlinear Complementarity ◽  
New Class

In this paper, we introduce a new class of generalized strongly set-valued nonlinear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this kind of nonlinear complementarity problems and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results in this field.

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