A Projection and Contraction Algorithm for Quasi-Variational Inequality Problem

A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem

Copyright q 2010 Filomena Cianciaruso et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We propose a modified hybrid projection algorithm to approximate a common fixed point of a k-strict pseudocontraction and of two sequence...

A Quasi-variational Inequality Problem in Superconductivity

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...

Convergence and Stability of a Three-step Iterative Algorithm for a General Quasi-variational Inequality Problem

We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasivariational inequality problem and discuss the convergence analysis and stability of a three-step iterative algorithm for general quasi-variationa...

Generalized Quasi-Variational-Like Inequality Problem

A New Projection Algorithm for Generalized Variational Inequality