Studies on Common Solutions of a Variational Inequality and a Fixed-Point Problem

Z. Y. Huang () and M. A. Noor ()
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Z. Y. Huang: Nanjing University
M. A. Noor: COMSATS Institute of Information Technology

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 10, 525-535

Abstract: Abstract In this paper, we construct a new projection method and prove the strong convergence for finding a common element of a set of fixed points of strict pseudo-contractions and a set of solutions of a variational inequality with inverse strongly monotone mappings in the setting of real Hilbert spaces. Our results improve and extend the recent results by Huang, Noor, and Al-Said (J. Optim. Theory Appl. 147(1):194–204, 2010), Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417–428, 2003).

Keywords: α-inverse strongly monotone mappings; β-strict pseudo-contraction; Common elements; Variational inequalities; Hilbert spaces (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0010-0

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