Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces |
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| Authors: | Yonghong Yao Yeong‐Cheng Liou Rudong Chen |
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| Institution: | 1. Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan;2. Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, P. R. China |
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| Abstract: | In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an α ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converges strongly to a common element of two sets under some mild conditions on parameters (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Fixed point monotone mapping variational inequality strong convergence Hilbert space |
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