Normal maps inducted by linear transformations
Mathematics of Operations Research
Generalized quasi-variational-like inequality problem
Mathematics of Operations Research
Some aspects of variational inequalities
Journal of Computational and Applied Mathematics
Wiener-Hopf equations and variational inequalities
Journal of Optimization Theory and Applications
Piecewise smoothness, local invertibility, and parametric analysis of normal maps
Mathematics of Operations Research
Multivalued quasi variational inclusions and implicit resolvent equations
Nonlinear Analysis: Theory, Methods & Applications
Existence and iterative approximation of solutions of generalized mixed equilibrium problems
Computers & Mathematics with Applications
System of generalized resolvent equations with corresponding system of variational inclusions
Journal of Global Optimization
Some algorithms for general monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
Set-valued mixed quasi-variational inequalities and implicit resolvent equations
Mathematical and Computer Modelling: An International Journal
A new iterative method for monotone mixed varitational inequalities
Mathematical and Computer Modelling: An International Journal
An extraresolvent method for monotone mixed variational inequalities
Mathematical and Computer Modelling: An International Journal
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In this paper, we introduce and study some new classes of multivalued variational inequalities. These classes are more general and include the previously known classes of variational inequalities and related optimization problems as special cases. We also introduce some new resolvent equation problems. We prove that multivalued variational inequalities are equivalent to the fixed point problems and the resolvent equations. This equivalence is used to discuss the existence of the solution of the multivalued variational inequalities and suggest iterative algorithms for computing the approximate solutions. The convergence analysis is also studied.