On the shrinking projection method for nonexpansive mappings endowed with graphs

• Published in: Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 9 - 12
• Main Authors: Kimura, Yasunori, Phothi, Supaluk, Tontan, Kittisak
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2025; Springer Nature B.V; SpringerOpen
• Subjects: Algorithms; Analysis; Applications of Mathematics; Approximation; Convergence; Differential Geometry; Directed graphs; G-nonexpansive mappings; Graph theory; Graphs; Hilbert space; Iterative methods; Mathematical and Computational Biology; Mathematics; Mathematics and Statistics; Methods; Shrinking projection method; Topology; Shrinking projection method; 47H09; 47H10; Directed graphs; nonexpansive mappings

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 endowe...