Solve the split equality problem by a projection algorithm with inertial effects

Abstract

The split equality problem has wide applicability in many fields of applied mathematics. In this paper, by using the inertial extrapolation, we introduce an inertial projection algorithm for solving the split equality problem. The weak convergence of the proposed algorithm is shown. Finally, we present a numerical example to illustrate the efficiency of the inertial projection algorithm.

Simultaneous and semi-alternating projection algorithms for solving split equality problems

“…Polyak [ 18 , 19 ] first introduced the inertial extrapolation algorithms, which were widely studied as an acceleration process. The authors [ 20 ] made an inertial modification for Algorithm 1.3 and introduced the following inertial projection methods for SEP.…”

Convergence Analysis of ParallelS-Iteration Process for System of Generalized Variational Inequalities

“…A variety of problems have been dealt with in these iteration processes (see [24,25] and the references therein). Recently, Sahu [26] introduced the notion of altering points of nonlinear mappings and following the idea of -operator and normal -iteration process, he [26] introduced a parallel -iteration process for finding altering points of nonlinear mappings as follows.…”

Approximation of Iterative Methods for Altering Points Problem With Applications

“…After that number of problems have been solved using S-iterative method and its modified version, see [2,3,16,22]. In recent past, Parallel iterative methods have been using by number of researchers with numerous applications, see, for example, [5,6,8,11,17,31]. Following these ongoing research techniques, Sahu [20] studied the altering points problem of nonlinear mappings and presented the convergence analysis of the following parallel S-iterative method.…”