A viscosity-type scheme for optimization problems in Hadamard spaces with applications

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Publication Details

Author list: Salisu, Sani; Kumam, Poom; Sriwongsa, Songpon;

Publisher: Taylor and Francis Group

Publication year: 2023

ISSN: 0233-1934

eISSN: 1029-4945

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85164470284&doi=10.1080%2f02331934.2023.2230985&partnerID=40&md5=42802d45091e20d15a8a3198068c8fd3

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we propose a viscosity-type scheme for approximating a common solution of convex minimization problem, monotone vector field inclusion problem and fixed point problem involving multi-valued nonexpansive mapping in the framework of Hadamard spaces. We obtain a strong convergence theorem for the sequence generated therefrom to a solution of the problem. Furthermore, we apply our results to compute the Fréchet mean, find the mean of probabilities, minimize energy of measurable mappings and solve a problem of two-arm robotic motion control. Finally, we give numerical example to demonstrate the applicability of the method and also issue comparisons with some existing methods. Our results extend and complement some recent results in the literature. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

monotone inclusion