scholarly journals Optimality, duality and gap function for quasi variational inequality problems

2016 ◽  
Vol 23 (1) ◽  
pp. 297-308 ◽  
Author(s):  
Hadi Mirzaee ◽  
Majid Soleimani-damaneh
Keyword(s):  
Variational Inequality ◽  
Gap Function ◽  
Variational Inequality Problems ◽  
Quasi Variational Inequality

scholarly journals Error bounds for generalized vector inverse quasi-variational inequality Problems with point to set mappings

2021 ◽  
Vol 6 (2) ◽  
pp. 1800-1815
Author(s):  
S. S. Chang ◽  
◽  
Salahuddin ◽  
M. Liu ◽  
X. R. Wang ◽  
...  
Keyword(s):  
Variational Inequality ◽  
Error Bounds ◽  
Variational Inequality Problems ◽  
Quasi Variational Inequality ◽  
Set Mappings

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 Split general quasi-variational inequality problem

2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Kaleem Raza Kazmi
Keyword(s):  
Variational Inequality ◽  
Variational Inequality Problem ◽  
Natural Extension ◽  
Iterative Algorithms ◽  
Variational Inequality Problems ◽  
Convergence Criteria ◽  
Inequality Problem ◽  
Special Cases ◽  
Quasi Variational Inequality ◽  
Split Variational Inequality Problem

AbstractIn this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of a split variational inequality problem, quasivariational and variational inequality problems in Hilbert spaces. Using the projection method, we propose an iterative algorithm for a split general quasi-variational inequality problem and discuss some special cases. Further, we discuss the convergence criteria of these iterative algorithms. The results presented in this paper generalize, unify and improve many previously known results for quasi-variational and variational inequality problems.

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