The purpose of this paper is to present a modified Halpern iterative algorithm for finding a common solution of quasi-variational inclusion problem and fixed point problem of a finite family of demimetric mappings and ...

The concepts of new classes of mappings are introduced in the spaces which are more general space than the usual metric spaces. The obtained results are new and are extension of Banach contraction principle. The existence ...

In this paper, we introduce a new class of monotone generalized nonexpansive mappings and we establish some weak and strong convergence theorem for a newly proposed iterative process in the frame work of an ordered ...

In this paper, we study split generalized mixed equilibrium problem and fixed point problem in real Hilbert spaces with a view to analyze an iterative method for approximating a common solution of split generalized mixed ...

In this paper, we investigate a shrinking algorithm for finding a solution of split monotone variational inclusion problem which is also a common fixed point problem of relatively nonexpansive mapping in uniformly convex ...

In this paper, we obtain sufficient conditions for the existence of a unique fixed point of $T$- mean nonexpansive mapping and an integral type of $T$- mean nonexpansive mapping. We also obtain sufficient conditions for ...

The main purpose of this paper is to introduce some viscosity-type proximal point algorithms which comprise of a nonexpansive mapping and a finite sum of resolvents of monotone operators, and prove their strong convergence ...