📢 Welcome to the Bukhtishu Publishing Hub
This is the official platform of the Bukhtishu Publishing Group, dedicated to the organization and promotion of high-quality scientific events, including conferences, academic meetings, and scholarly lectures.

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

Nov 29, 2025, 9:40 AM
30m

Speaker

Dr Yirga Abebe Belay (Naresuan University, Aksum University)

Description

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.

Authors

Prof. Rattanaporn Wangkeeree (Naresuan University) Prof. Rabian Wangkeeree (Naresuan University) Dr Yirga Abebe Belay (Naresuan University, Aksum University) Prof. Kasamsuk Ungchittrakool Mr Purit Thammasiri (Naresuan University) Prof. Pakkapon Preechasilp (Pibulsongkram Rajabhat University,)

Presentation materials