A DYNAMIC SIMULTANEOUS ALGORITHM FOR SOLVING SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEMS

Abstract

This paper introduces a dynamic simultaneous iterative scheme for solving split equality monotone variational inclusion problems in real Hilbert spaces, where the associated operators are assumed to be firmly quasi-non expan-sive. Under appropriate conditions on the parameters, we prove that the generated sequence converges weakly to a solution of the problem. In addition, several applications are discussed, and numerical experiments are carried out to demonstrate the practical performance of the proposed method. The results indicate that the algorithm shows faster convergence compared to some existing approaches. Overall, the method and its analysis provide new insights and extend a number of earlier contributions in this area.