Convergence analysis and applications of the inertial algorithm solving inclusion problems

Halpern-Type Inertial Iteration Methods with Self-Adaptive Step Size for Split Common Null Point Problem

“…where µ > 0, α n ∈ [0, 1) is the extrapolation coefficient and α n (z n − z n−1 ) composes the inertial term. It is found that this kind of scheme has an improved convergence rate and therefore this scheme was adopted, altered and implemented to solve various nonlinear problems, see, e.g., [23][24][25][26][27][28]. Very recently, Reich and Taiwo [29] studied some fast iterative methods for estimating the solution of variational inclusion problem in which they jointly compute the viscosity approximation and inertial extrapolation in the first step of iterations.…”

Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems

“…where A is monotone mapping, R A µ is the resolvent of A and µ > 0. Such types of schemes have a better convergence rate, and hence, this scheme was modified and applied to solve numerous nonlinear problems; see [28][29][30][31][32][33][34] and the references therein.…”

An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing

“…Hence, the theory have been extended in many ways, for example see Refs. [ 12 ],[ 13 ],[ 14 ],[ 15 ],[ 16 ],[ 17 ] ,[ [18] , [19] , [20] , [21] ][,[ [22] , [23] , [24] ] and the many references therein. The mathematical model of temperature-dependent flow of power-law nanofluid over a variable stretching Riga sheet was study by Ref.…”