Inertial viscosity-type iterative method for solving inclusion problems with applications

Approximation method for monotone inclusion problems in real Banach spaces with applications

“…Author details 1 Mathematics Institute, African University of Science and Technology, Abuja 900107, Nigeria. 2 Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. 3 Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand.…”

“…The vast applicability of the monotone inclusion problem (1) in solving problems such as convex minimization, variational inequality, image restoration, and signal processing has made it a problem of contemporary interest (see, e.g., [1][2][3][4][5]). Many mathematical algorithms have been developed for solving problem (1).…”

An Accelerated Halpern-Type Algorithm for Solving Variational Inclusion Problems With Applications

“…Iterative algorithms for approximating solutions of the inclusion (1.1) have been studied extensively by numerous authors (see, e.g., [1][2][3] [11], [12], [13], [14] [15], [16]). Assuming existence of solution, one of the classical methods for approximating solution(s) of (1.1) in the setting of real Hilbert spaces is the well-known forward-backward algorithm (FBA) which is an iterative procedure that starts at a point x 1 ∈ H, and generates inductively the sequence {x n } ⊂ H by:…”

A parallel method for common variational inclusion and common fixed point problems with applications

“…Moudafi and Oliny [15] in 2003 introduced the inertial proximal algorithm to solve the problem (1.1), which was developed from the forwardbackward splitting algorithm with the inertial extrapolation technique. Some very recent results on the modified forward-backward splitting method have also been in [1,5,6,14]. Many real-world problems necessitate finding a solution that satisfies several constraints.…”