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Approximation method for fixed points of nonlinear mapping and variational inequalities with application
Author(s)
Cheawchan, Kanyarat
Date Issued
December 1, 2015
Type
Article
Abstract
In this paper, we introduce the new method of iterative scheme {xn} for finding a common element of the set of fixed points of a quasi-nonexpansive mapping and the set of solutions of a modified system of variational inequali- ties without demiclose condition and Tω := (1 − ω)I + ωT, when T is a quasi- nonexpansive mapping and ω ∈ (0, 1/2) in a framework of Hilbert space. Using our main result, we obtain strong convergence theorems involving a finite family of nonspreading mapping and another corollary.
Citation
Thai Journal of Mathematics, 13(3), 653-672, 2015