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Inertial method for a solution of Split Equality of Monotone Inclusion and the $f$-Fixed Point Problems in Banach Spaces
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In this paper, we propose an inertial algorithm for solving split
equality of monotone inclusion and $f$-fixed point of Bregman
relatively $f$-nonexpansive mapping problems in reflexive real Banach
spaces. Using the Bregman distance function, we prove a strong
convergence theorem for the algorithm produced by the method in real
reflexive Banach spaces. As an application, we provide several
applications of our method. Furthermore, we give a numerical example to
demonstrate the behavior of the convergence of the algorithm.
Title: Inertial method for a solution of Split Equality of Monotone Inclusion and the $f$-Fixed Point Problems in Banach Spaces
Description:
In this paper, we propose an inertial algorithm for solving split
equality of monotone inclusion and $f$-fixed point of Bregman
relatively $f$-nonexpansive mapping problems in reflexive real Banach
spaces.
Using the Bregman distance function, we prove a strong
convergence theorem for the algorithm produced by the method in real
reflexive Banach spaces.
As an application, we provide several
applications of our method.
Furthermore, we give a numerical example to
demonstrate the behavior of the convergence of the algorithm.
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