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A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
Author(s)
Date Issued
December 1, 2015
Type
Article
Abstract
For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and Wω:=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem.
Citation
Fixed Point Theory and Applications, 2015(1), 1-19, 2015