A primal dual modified subgradient algorithm with sharp Lagrangian

Authors:
Regina S. Burachik;Alfredo N. Iusem;Jefferson G. Melo
Affiliations:
School of Mathematics and Statistics, University of South Australia, Mawson Lakes, Australia 5095;IMPA, Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil CEP 22460-320;IMPA, Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil CEP 22460-320
Venue:
Journal of Global Optimization
Year:
2010

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Abstract

In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively weak nonexpansive mapping and the set of solutions of a variational inequality in a Banach space. Our results extend and improve ...