Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities

P. N. Anh ()
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P. N. Anh: Posts and Telecommunications Institute of Technology

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 19, 303-320

Abstract: Abstract We introduce a new iteration method and prove strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported.

Keywords: Nonexpansive mapping; Fixed point; Monotone; Lipschitz-type continuous; Ky Fan inequality (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0005-x

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