A Modified Forward-Backward Splitting Method for Solving Monotone Inclusions and Fixed Points Problems
摘要
In this work we present a new iterative algorithm for solving monotone inclusion problem and common fixed point problem of a finite family of demimetric mappings in a real Hilbert spaces. We combine several techniques, such as the Armijo line search and inertia to establish a modified forward-backward splitting method for solving the problem. Under standard assumptions we establish the strong convergence of the algorithm and present two numerical examples to illustrate and compare the performances of the method and related ones.