Work

On the shrinking projection method for nonexpansive mappings endowed with graphs

Year: 2025

Type: article

Abstract: Recently, the convergence of a shrinking projection method for a Hadamard space satisfying some properties endowed with a directed graph defined on a nonempty closed convex subset of this space has been studied by many authors. In this work, we define a new graph and consider a Hadamard space endowed with our modified graph, we present a theorem on the strong convergence of an iterative sequence generated by the shrinking projection method. In particular, we generalize a result in (Khatoon et al. in Proc. Est. Acad. Sci 71(3):275, 2022 ) to more general setting. The similar result is also deduces to a Hilbert space.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-025-00791-8

Authors: Yasunori Kimura, Supaluk Phothi, Kittisak Tontan

Institutions: Toho University, Chiang Mai University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: Japan Society for the Promotion of Science