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Strong Convergence Theorems by an Extragradient Method for Solving Variational Inequalities and Equilibrium Problems in a Hilbert Space
Nonexpansive mapping Equilibrium problem Fixed point Lipschitz-continuous mappings Variational inequality Extragradient method
2010/2/25
In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solu...
Numerical Solution and Convergence Speed of Variational Formulation for Linear Schrödinger Equation
Optimal control problem Finite difference method Inverse problem
2010/3/1
This paper presents a numerical solution of an optimal control problem for linear parabolic equations. The estimates for the error of the difference scheme and the speed of convergence have been estab...