VISCOSITY SCHEME WITH ENRICHED MAPPINGS FOR HIERARCHICAL VARIATIONAL INEQUALITIES IN CERTAIN GEODESIC SPACES

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Publication Details

Author list: Salisu S.; Sriwongsa S.; Kumam P.; Berinde V.

Publication year: 2025

Journal: Fixed Point Theory (1583-5022)

Volume number: 26

Issue number: 1

Start page: 293

End page: 308

Number of pages: 16

ISSN: 1583-5022

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85219054846&doi=10.24193%2ffpt-ro.2025.1.19&partnerID=40&md5=69eaeb8c04f33ddabccf93bb50840aed

Languages: English-Great Britain (EN-GB)

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Abstract

This paper presents an adaptive algorithm for solving enriched contraction variational inequality problems, using the set of fixed points of an enriched nonexpansive mapping as a constrained set. The algorithm is defined within the framework of unique geodesic spaces. In each iteration, the scheme uses only two embedded geodesic segments and does not require the computation of any metric projection. The method requires one evaluation of an enriched nonexpansive mapping T1 and an enriched contraction T2 at every iteration. The convergence analysis of the proposed scheme is performed in the setting of CAT(0) spaces, and a numerical example is provided to support the findings. © 2025, House of the Book of Science. All rights reserved.

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