A New Approximation Method for Solving Variational Inequalities and Fixed Points of Nonexpansive Mappings
نویسندگان
چکیده
A new approximationmethod for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space.
منابع مشابه
Approximating fixed points of nonexpansive mappings and solving systems of variational inequalities
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