Inverse problems in image processing are typically cast as optimization tasks, consisting of
data fidelity and stabilizing regularization terms. A recent regularization strategy of great …

In this paper, the concepts of α–demicontractive semigroup and α–hemicontractive
semigroup are considered. We study the strong and weak convergence of an implicit …

A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa
iteration algorithm to a fixed point of T is assured is introduced and studied. The study is a …

We propose a two-step iteration Scheme of hybrid-type for α-hemicontractive mappings and
establish some weak and strong convergence theorems of the scheme to the fixed points of …

Coupled fixed points have become the focus of interest in recent times, especially for their
potential applications. Very recently, the idea of common coupled fixed point iterations has …

A formula of error estimation of Mann iteration is given in the case of strongly
demicontractive mappings. Based on this estimation, a condition of strong convergence is …

In this study, we introduce two classes of nonlinear mappings, the class ofasymptotically
demicontractive mappings in the intermediate sense andasymptotically hemicontractive …

We study a weaker and more natural notion of stability called weak w^ 2 w 2-stability to get
an insight in the corresponding results obtained by Măruşter and Măruşter (J Comput Appl …

As is well known, it is quite valuable and challenging to solve the split common fixed point
problem (SCFP) associated with two different nonlinear operators. In this study, in order to …

We introduce a novel class of asymptotically α-hemicontractive mappings and demonstrate
its relationship with the existing related families of mappings. We establish certain …