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- W1983758840 abstract "Abstract Moudafi and Maingé [Towards viscosity approximations of hierarchical fixed-point problems, Fixed Point Theory Appl. (2006), Art. ID 95453, 10pp] and Xu [Viscosity method for hierarchical fixed point approach to variational inequalities, Taiwanese J. Math. 13 (6) (2009)] studied an implicit viscosity method for approximating solutions of variational inequalities by solving hierarchical fixed point problems. The approximate solutions are a net ( x s , t ) of two parameters s , t ∈(0,1), and under certain conditions, the iterated lim t →0 lim s →0 x s , t exists in the norm topology. Moudafi, Maingé and Xu stated the problem of convergence of ( x s , t ) as ( s , t )→(0,0) jointly in the norm topology. In this paper we further study the behaviour of the net ( x s , t ); in particular, we give a negative answer to this problem." @default.
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- W1983758840 date "2009-06-19" @default.
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- W1983758840 title "ON AN IMPLICIT HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES" @default.
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- W1983758840 doi "https://doi.org/10.1017/s0004972709000082" @default.
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