Abstract
AbstractWe introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping "Equation missing".
Highlights
Let C be a nonempty closed convex subset of a real Hilbert space H
Iterative methods for nonexpansive mappings have been extensively investigated in the literature; see 1–7, 9–21
We prove that the proposed algorithms strongly converge to a fixed point of nonexpansive mapping T
Summary
Let C be a nonempty closed convex subset of a real Hilbert space H. We prove that the proposed algorithms strongly converge to a fixed point of nonexpansive mapping T . In order to prove our main results, we need the following well-known lemmas.
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