Some Novel Aspects of Quasi Variational Inequalities

Quasi variational inequalities can be viewed as novel generalizations of the and principles, origin which traced back to Euler, Lagrange, Newton Bernoulli's brothers. It is well known that quasi-variational are equivalent implicit fixed point problems. We consider this alternative formulation suggest some new iterative methods for solving related optimization problems using projection methods, Wiener-Hopf equations, dynamical systems, merit function nonexpansive mappings. Convergence analysis these investigated under suitable conditions. Our results present a significant improvement previously quasi Since include complementarity special cases. Results obtained in paper continue hold Some cases discussed applications main results. The implementation algorithms comparison with other need further efforts.