Generalized split feasibility problems governed by generalized hybrid mappings are studied
via iterative methods. Several algorithms are introduced to solve them. In particular, weak …

It is well known that many problems in image recovery, signal processing, and machine
learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz …

The purpose of this paper is to study a forward–backward algorithm for approximating a zero
of the sum of maximally monotone mappings in the setting of Banach spaces. Under some …

Many problems arising from machine learning, signal & image recovery, and compressed
sensing can be casted into a monotone inclusion problem for finding a zero of the sum of …

We know that variational inequality problem is very important in the nonlinear analysis. For a
variational inequality problem defined over a nonempty fixed point set of a nonexpansive …

In this paper, we first study a hierarchical problem of Baillon's type, and we study a strong
convergence theorem of this problem. For the special case of this convergence theorem, we …

In this paper, we introduce a novel dual variable algorithm accelerated via inertial
extrapolation for solving the generalized split inverse problem given as a task of finding the …

The purpose of this paper is to study the problem of the system of N fixed point operator
equations with N-variables pseudo-contractive mapping. Firstly, the concept of N-variables …

In recent years, the Forward-Backward algorithm (FBA) received much attention due to its
various applications in image recovery, signal processing, and machine learning. In this …

Our purpose of this study is to construct an algorithm for finding a zero of the sum of two
maximally monotone mappings in Hilbert spaces and discus its convergence. The …