On an Open Question of Takahashi for Nonexpansive Mappings and Inverse Strongly Monotone Mappings

Z. Y. Huang (), M. A. Noor () and E. Al-Said ()
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Z. Y. Huang: Nanjing University
M. A. Noor: COMSATS Institute of Information Technology
E. Al-Said: King Saud University

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 1, No 12, 194-204

Abstract: Abstract In this paper, we suggest and analyze an iteration method studied by Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417–428, 2003) for finding a common element of a set of fixed points of nonexpansive mappings and a set of solutions of variational inequalities with inverse strongly monotone mappings under some mild conditions. The strong convergence is proved and positive answer is given to an open question posed by Takahashi and Toyoda.

Keywords: α-inverse strongly monotone; Iteration method; Common elements; Nonexpansive mappings; Variational inequalities; Hilbert spaces (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-010-9705-2

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