Hybrid Steepest Descent Methods for Zeros of Nonlinear Operators with Applications to Variational Inequalities

L. C. Zeng (), S. Schaible and J. C. Yao ()
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L. C. Zeng: Shanghai Normal University
S. Schaible: Chung Yuan Christian University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2009, vol. 141, issue 1, No 5, 75-91

Abstract: Abstract In this paper, the hybrid steepest descent methods are extended to develop new iterative schemes for finding the zeros of bounded, demicontinuous and φ-strongly accretive mappings in uniformly smooth Banach spaces. Two iterative schemes are proposed. Strong convergence results are established and applications to variational inequalities are given.

Keywords: Hybrid steepest descent method; φ-strongly accretive mappings; Variational inequalities; Uniformly smooth Banach spaces (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-008-9501-4

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