Some new projection methods for variational inequalities

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Variational inequalities on Hilbert $C^*$-modules

We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory  on  Hilbert $C^*$-modules is studied.

Some Parallel Algorithms for a New System of Quasi Variational Inequalities

In this paper, we introduce a new system of quasi variational inequalities. The projection technique is used to establish the equivalence between this new system of quasi variational inequalities and the fixed point problem. The fixed point formulation enables us to suggest some parallel projection iterative methods for solving the system of quasi variational inequalities. Convergence analysis ...

Projection Iterative Methods for Multivalued General Variational Inequalities

In this paper, we introduce a new class of variational inequalities involving two operators. Using the projection technique, we establish the equivalence between the multivalued general variational inequalities and the fixed point problems. This equivalent formulation is used to suggest and analyze some iterative algorithms for solving the multivalued general variational inequalities. We also d...

Convergence analysis of projection methods for a new system of general nonconvex variational inequalities

* Correspondence: [email protected] College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China Full list of author information is available at the end of the article Abstract In this article, we introduce and consider a new system of general nonconvex variational inequalities defined on uniformly prox-regular sets. We establish the equivalence b...