Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging,
presented here for the first time, we introduce and study the class of enriched nonexpansive …

The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert
spaces is established. The strong convergence of this technique is proved under certain …

An essential numerical method for solving ordinary differential and differential algebraic
equations is the implicit midpoint rule. Comparing the rate of convergence of the implicit …

The purpose of the paper is to construct iterative methods for finding the fixed points of
nonexpansive mappings. We present a modified semi-implicit midpoint rule with the …

In this paper, the study of implicit viscosity approximation methods for nonexpansive
mappings in Banach spaces is explored. A new iterative sequence is introduced for the …

In this paper, based on the very recent work by Nandal et al.(Nandal, A.; Chugh, R.;
Postolache, M. Iteration process for fixed point problems and zeros of maximal monotone …

The purpose of this paper is to introduce the implicit midpoint rule of nonexpansive
mappings in CAT (0) spaces. The strong convergence of this method is proved under certain …

It is meaningful and valuable to find common fixed points of different nonexpansive-type
operators, which are associated with variational inequalities, integral equations, image …

In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum
of two accretive operators in the framework of Banach spaces. The strong convergence …

The purpose of this paper is to introduce the implicit midpoint rule of asymptotically
nonexpansive mappings in Hilbert spaces. The strong convergence of this viscosity method …