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 Solutions of systems of variational inequalities on fixed points of nonexpansive mappings Bull. Korean Math. Soc. 2014 Vol. 51, No. 3, 621-640 https://doi.org/10.4134/BKMS.2014.51.3.621Published online May 31, 2014 Hossein Piri University of Bonab Abstract : In this paper, we introduce a new approximating method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solution of system variational inequalities for finite family of inverse strongly monotone mappings and strictly pseudo-contractive of Browder-Petryshyn type mappings. We show that the sequence converges strongly to a common element the above two sets under some parameter controling conditions. Our results improve and extend the results announced by many others. Keywords : fixed point, $\delta$-strongly monotone, $\lambda$-strictly pseudo-contractive, strong convergence, nonexpansive mapping MSC numbers : 20D15, 20D45 Downloads: Full-text PDF