Strong convergence of projection methods for a countable family of nonexpansive mappings and applications to constrained convex minimization problemsReport as inadecuate




Strong convergence of projection methods for a countable family of nonexpansive mappings and applications to constrained convex minimization problems - Download this document for free, or read online. Document in PDF available to download.

Journal of Inequalities and Applications

, 2013:546

First Online: 19 November 2013Received: 28 April 2013Accepted: 17 September 2013

Abstract

In this paper, we introduce a general algorithm to approximate common fixed points for a countable family of nonexpansive mappings in a real Hilbert space, which solves a corresponding variational inequality. Furthermore, we propose explicit iterative schemes for finding the approximate minimizer of a constrained convex minimization problem and prove that the sequences generated by our schemes converge strongly to a solution of the constrained convex minimization problem. Our results improve and generalize some known results in the current literature.

MSC: 47H10, 37C25.

Keywordscountable family of nonexpansive mappings fixed point strong convergence constrained convex minimization problem projection method  Download fulltext PDF



Author: Eskandar Naraghirad

Source: https://link.springer.com/



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