An iterative method for obstacle problems via Green's functions
Non-Linear Analysis
Mathematical Programming: Series A and B
Normal maps inducted by linear transformations
Mathematics of Operations Research
Some aspects of variational inequalities
Journal of Computational and Applied Mathematics
Implementation of a continuation method for normal maps
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
Equivalence of variational inclusions with resolvent equations
Nonlinear Analysis: Theory, Methods & Applications
SIAM Journal on Optimization
Multivalued variational inequalities and resolvent equations
Mathematical and Computer Modelling: An International Journal
Generalized monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
An extraresolvent method for monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
Iterative Schemes for Multivalued Quasi Variational Inclusions
Journal of Global Optimization
Multivalued quasi variational inclusions and implicit resolvent equations
Nonlinear Analysis: Theory, Methods & Applications
A new class of completely generalized quasi-variational inclusions in Banach spaces
Journal of Computational and Applied Mathematics
An iterative method for generalized set-valued nonlinear mixed quasi-variational inequalities
Journal of Computational and Applied Mathematics
Existence and iterative approximation of solutions of generalized mixed equilibrium problems
Computers & Mathematics with Applications
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In this paper, we introduce and study a new class of variational inequalities, which is called the set-valued mixed quasi-variational inequality. The resolvent operator technique is used to establish the equivalence among generalized set-valued mixed quasi-variational inequalities, fixed-point problems and the set-valued implicit resolvent equations. This equivalence is used to study the existence of a solution of set-valued variational inequalities and to suggest a number of iterative algorithms for solving variational inequalities and related optimization problems. The results proved in this paper represent a significant refinement and improvement of the previously known results in this area.