On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities

On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities

A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed i.e., with a unique solution regularized problems. We will use this idea to define and study a two-step algorithm to solve hierarchical fixed point problems under different conditions on involved parameters. We will see that choosing appropriate hypotheses on the parameters, we will obt...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

Variational inequalities and fixed point problems : a survey

The variational inequality problem provides a broad unifying setting for the study of optimization, equilibrium and related problems and serves as a useful computational framework for the solution of a host of problems in very diverse applications. Variational inequalities have been a classical subject in mathematical physics, particularly in the calculus of variations associated with the minim...

iterative methods for equilibrium problems, variational inequalities and fixed points