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Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points

Article ID Journal Published Year Pages File Type
840785 Nonlinear Analysis: Theory, Methods & Applications 2012 12 Pages PDF
Abstract

In this paper, we present a new multi-step iterative method. We prove the strong convergence of the method to a common fixed point of a finite number of nonexpansive mappings that also solves a suitable equilibrium problem.

Keywords
47H1047H09Contractionequilibrium problemVariational inequality problemNonexpansive mapProjection
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
Authors
Giuseppe Marino, Luigi Muglia, YongHong Yao,
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Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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