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ATTRACTIVE POINTS AND THE VISCOSITY ITERATIVE ALGORITHM FOR THE IMPLICIT MIDPOINT RULE
Journal article

ATTRACTIVE POINTS AND THE VISCOSITY ITERATIVE ALGORITHM FOR THE IMPLICIT MIDPOINT RULE

Journal of mathematical analysis, Vol.9(2), pp.134-139
01/01/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a viscosity implicit midpoint rule to approximate the solution of an attractive fixed point problem for a nonexpansive mapping in a real Hilbert space. Further, we obtain a weak convergence theorem for the sequence generated by the proposed iterative scheme. Furthermore, we derive some consequence from our main result. The result presented in this paper extended and unify many of the previously known results in this area.

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