Some variant of Tseng splitting method with accelerated Visco-Cesaro means for monotone inclusion problems

Abstract

In this paper, we examine the convergence analysis of a variant of Tseng's splitting method for monotone inclusion problem and fixed point problem associated with an infinite family of $ \eta $-demimetric mappings in Hilbert spaces. The qualitative results of the proposed variant shows strong convergence characteristics under a suitable set of control conditions. We also provide a numerical example to demonstrate the applicability of the variant with some applications.

Keywords

• monotone inclusion problem
• forward-backward-forward method
• viscosity method
• ces$ \acute{a} $ro means method
• nesterov's accelerated method