Work

A Halpern Method for Solving Perturbed Double Inertial Krasnoselskii-Mann Iterations with Applications to Image Restoration Problems

Year: 2025

Type: article

Abstract: In this paper, we introduce and study a Halpern inertial method for solving the general perturbed Krasnoselskii-Mann type algorithm in Hilbert space settings, where the underlying mapping is quasi-nonexpansive. We discuss convergence analysis of the method under some mild assumptions on the control sequences. We additionally present a numerical example to demonstrate the effectiveness of the method. Finally, we apply the method in solving image restoration problems. We evaluate the quality of the improvement in the Signal-to-Noise Ratio (ISNR) and the restored images using the Structural Similarity Index Measure (SSIM) metrics. The results of this work generalize and expand upon numerous results found in the literature.

Source: Bangmod International Journal of Mathematical and Computational Science

DOI: 10.58715/bangmodjmcs.2025.11.16

Authors: Rattanaporn Wangkeeree, Rabian Wangkeeree, Yirga Abebe Belay, Kasamsuk Ungchittrakool, Purit Thammasiri, Pakkapon Preechasilp

Institutions: Naresuan University, Aksum University, Pibulsongkram Rajabhat University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Council of Thailand, Naresuan University

Awards: G5086656464, G6529532223