Strong convergence of new split general system of monotone variational inclusion problem

Abstract

The aim of this research is to introduce a split general system of monotone variational inclusion problem to generalize several known problems in the literature. We propose a viscosity approximation method to prove strong convergence of the suggested algorithm to a common solution of split general system of monotone variational inclusion problem, variational inequality problem involving pseudomonotone operator and fixed point problem for a finite family of quasi-pseudocontractive mappings. Our result can be viewed as significant extension of the previously known results. Furthermore, we provide numerical experiments to validate the performance of our algorithm and compare it with other existing methods.

Keywords:

• Monotone inclusion problem
• split feasibility problem
• variational inequality problem
• fixed point problem
• pseudomonotone operator
• quasi-pseudocontractive mapping

AMS CLASSIFICATIONS:

• 47H10
• 47J20
• 47J22
• 90C33

Disclosure statement

No potential conflict of interest was reported by the author(s).