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Δ-convergence of convex combinations of two maps on p-uniformly convex metric spaces | |
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Fixed Point Theory, Volume 23, No. 1, 2022, 199-210, February 1st, 2022 DOI: 10.24193/fpt-ro.2022.1.12 Authors: Byoung Jin Choi Abstract: In this paper, we first study some properties of the convex combination metric and the convex combination of two maps on a p-uniformly convex metric space. Also, we study the Δ-convergence of an iterative sequence for a convex combination of two maps on p-uniformly convex metric spaces. Key Words and Phrases: Convex feasibility problem, p-uniformly convex metric spaces, convex combination of two maps, weighted average projection method, Δ-convergence, fixed point. 2010 Mathematics Subject Classification: 41A65, 47H09, 47J25, 47N10, 47H10. Published on-line: February 1st, 2022.
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