Iterative Algorithms for General Multivalued Variational Inequalities

Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou, Shin Min Kang
2012 Abstract and Applied Analysis  
We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. This equivalence is used to suggest and analyze some iterative methods for solving the general multivalued variational in equalities in conjunction with nonexpansive mappings. We prove a strong convergence result for finding the common element of the set of fixed points of a nonexpansive mapping and
more » ... set of solutions of the general multivalued variational inequalities under some mild conditions. Several special cases are also discussed.
doi:10.1155/2012/768272 fatcat:oarll4v7djhrvnb3zi2ajalgli