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Numerical Functional Analysis and Optimization Volume 29, 2008 - Issue 7-8
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Original Articles

Extension of the Hybrid Steepest Descent Method to a Class of Variational Inequalities and Fixed Point Problems with Nonself-Mappings

Paul-Emile Maingé Département Scientifique Interfacultaire, GRIMAAG, Université des Antilles-Guyane, Cedex, Martinique (F.W.I.)Correspondence[email protected]
Pages 820-834 | Published online: 17 Sep 2008
 
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Abstract

In this paper, we discuss the strong convergence of the hybrid steepest descent method relative to the case when the involved operators belong to a wide class of possibly nonself-mappings. Our convergence results cover previous ones, and the techniques of analysis used are simple and can be adapted to many other fixed point methods.

AMS Subject Classification:

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Related Research Data

Methods for Variational Inequality Problem Over the Intersection of Fixed Point Sets of Quasi-Nonexpansive Operators
Source: Informa UK Limited
An Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
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Nonexpansiveness of a linearized augmented Lagrangian operator for hierarchical convex optimization
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