Combination of the Hybrid Steepest-Descent Method and the Viscosity Approximation

S. Saeidi () and D. S. Kim ()
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S. Saeidi: University of Kurdistan
D. S. Kim: Pukyong National University

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 3, No 11, 930 pages

Abstract: Abstract In the context of a general q-uniformly smooth Banach space, we will prove the convergence of a scheme which covers Yamada’s hybrid steepest-descent method and Moudafi’s viscosity approximation in their complete forms. Moreover, we present an application to the minimization over a set of fixed points.

Keywords: Fixed point; Hybrid steepest-descent method; Nonexpansive mapping; q-uniformly smooth; Variational inequality; Viscosity approximation; Minimization over fixed points (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0397-2

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