Convex feasibility problems on uniformly convex metric spaces

Byoung Jin Choi, Un Cig Ji, Yongdo Lim · Optimization methods & software · 2018

In this paper, we extend two important notions, weighted average method and Mann's iterative method, in the study of convex feasibility problem for general maps defined on p-uniformly convex metric spaces. Then we prove the Δ-convergence theorems for the weighted average sequence and the Mann's alternating sequence in p-uniformly convex metric spaces.

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