Approximation theorems for G -nonexpansive mappings in convex metric spaces by three step iterations

Muhammad Nouman Aslam Khan, Maliha Rashid, Amna Kalsoom, Naeem Saleem, Madeeha, Manuel De la Sen · Alexandria Engineering Journal · 2024

In this article, we study the convergence behavior of G-nonexpansive mappings for three-step iterations in convex metric space along with the directed graph. We demonstrate the Δ-convergence as well as the strong convergence results for these mappings. For supporting our main results we presented a numerical example and convergence comparison of modified Thianwan iteration with SP iteration scheme and Noor iteration scheme.

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