DOI: 10.24193/fpt-ro.2023.1.22

Authors: G.C. Ugwunnadi, Z.G. Makukula, A.R. Khan and Y. Shehu

Abstract: In this paper, we study a viscosity approximation method for finding a nearest fixed point of a continuous pseudo-contraction mapping in a Hadamard space. We applied our result to solve some convex minimization problems. We also present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.

Key Words and Phrases: Pseudo-contraction mapping, monotone mappings, fixed point, △ convergence, strong convergence, Hadamard space.

2010 Mathematics Subject Classification: 47H09, 47J25.

Published on-line: February 1st, 2023.

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