On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints

• Published in: Journal of computational methods in applied mathematics Vol. 23; no. 3; pp. 729 - 749
• Main Authors: Uzor, Victor Amarachi, Alakoya, Timilehin Opeyemi, Mewomo, Oluwatosin Temitope
• Format: Journal Article
• Language: English
• Published: Minsk De Gruyter 01.07.2023; Walter de Gruyter GmbH
• Subjects: 47H09; 47H10; 47J25; 90C2; Adaptive Step Size; Algorithms; Approximation; Convergence; Fixed Point Problem; Fixed points (mathematics); Forward-Backward Splitting Method; Hilbert space; Inertial Technique; Iterative methods; Mathematical analysis; Nonexpansive Mappings; Split Monotone Variational Inclusion Problem

In this paper, we introduce and study the concept of split monotone variational inclusion problem with multiple output sets (SMVIPMOS). We propose a new iterative scheme, which employs the viscosity approximation technique for approximating the solution of the SMVIPMOS with fixed point constraints o...