Remark on the Yosida approximation iterative technique for split monotone Yosida variational inclusions

Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems

“…Some results related to (S p VI s P) and (FPP) can be found in [14][15][16][17][18][19] and the references therein.…”

Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem

“…where ψ is a contraction mapping, α ∈ (0, 1), µ ∈ (0, 1 L ), L is the spectral radius of A * A, α n ∈ (0, 1) is a real sequence, and λ > 0. Inspired by the work of [8][9][10], many authors have studied (S p VIP) and (FPP) in diverse directions using different techniques (see, for example, [11][12][13][14][15][16][17][18][19][20]).…”

Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems

“…It is well known that set-valued monotone operator can be regularized into a single-valued monotone operator by the process known as the Yosida approximation. Yosida approximation is a tool to solve a variational inclusion problem using nonexpansive resolvent operator and has been used to solve various variational inclusions and system of variational inclusions in linear and nonlinear spaces (see, for example, [18,[25][26][27][28][29][30]). Due to the fact that the zero of Yosida approximation operator associated with monotone operator G is the zero of inclusion problem 0 ∈ GðxÞ and inspired by the work of Moudafi, Byrne, Kazmi, and Dilshad et al, our motive is to propose two iterative methods to solve S p MVIP.…”