Axioms (Dec 2020)

On a Viscosity Iterative Method for Solving Variational Inequality Problems in Hadamard Spaces

  • Kazeem Olalekan Aremu,
  • Chinedu Izuchukwu,
  • Hammed Anuolwupo Abass,
  • Oluwatosin Temitope Mewomo

DOI
https://doi.org/10.3390/axioms9040143
Journal volume & issue
Vol. 9, no. 4
p. 143

Abstract

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In this paper, we propose and study an iterative algorithm that comprises of a finite family of inverse strongly monotone mappings and a finite family of Lipschitz demicontractive mappings in an Hadamard space. We establish that the proposed algorithm converges strongly to a common solution of a finite family of variational inequality problems, which is also a common fixed point of the demicontractive mappings. Furthermore, we provide a numerical experiment to demonstrate the applicability of our results. Our results generalize some recent results in literature.

Keywords