Journal of Applied Mathematics and Stochastic Analysis
Volume 9 (1996), Issue 1, Pages 43-56
doi:10.1155/S1048953396000056
Abstract
In this paper, we introduce and study some new classes of variational inequalities and Wiener-Hopf equations. Essentially using the projection technique, we
establish the equivalence between the multivalued general quasi-variational inequalities and the multivalued implicit Wiener-Hopf equations. This equivalence
enables us to suggest and analyze a number of iterative algorithms for solving
multivalued general quasi-variational inequalities. We also consider the auxiliary
principle technique to prove the existence of a unique solution of the variational-like inequalities. This technique is used to suggest a general and unified iterative
algorithm for computing the approximate solution. Several special cases which
can be obtained from our main results are also discussed. The results proved in
this paper represent a significant refinement and improvement of the previously
known results.