Existence of solutions for generalized variational inequality problems in Banach spaces

2011 ◽  
Vol 74 (3) ◽  
pp. 999-1004 ◽  
Author(s):  
Prapairat Junlouchai ◽  
Somyot Plubtieng
Keyword(s):  
Variational Inequality ◽  
Banach Spaces ◽  
Existence Of Solutions ◽  
Variational Inequality Problems ◽  
Generalized Variational Inequality ◽  
Generalized Variational Inequality 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.

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