Convergence theorems for generalized hemicontractive mapping in p-uniformly convex metric space
Godwin Chidi Ugwunnadi, Chinedu Izuchukwu, Oluwatosin Temitope Mewomo · Journal of Applied Analysis · 2020
Abstract In this paper, we introduce and study an Ishikawa-type iteration process for the class of generalized hemicontractive mappings in 𝑝-uniformly convex metric spaces, and prove both Δ-convergence and strong convergence theorems for approximating a fixed point of generalized hemicontractive mapping in complete 𝑝-uniformly convex metric spaces. We give a surprising example of this class of mapping that is not a hemicontractive mapping. Our results complement, extend and generalize numerous other recent results in CAT(0) spaces.