A WEAK CONVERGENCE THEOREM FOR A KRASNOSELSKIJ TYPE FIXED POINT ITERATIVE METHOD IN HILBERT SPACES USING AN ADMISSIBLE PERTURBATION

CRISTINA ŢICALĂ
Technical University of Cluj-Napoca, North University Center of Baia Mare Department of Mathematics and Informatics Address: Victoriei Nr. 76, Baia Mare, 430122, ROMANIA

cristina.ticala.pop@gmail.com

Abstract

The aim of this paper is to prove a weak convergence theorem for a general Krasnoselskij type fixed point iterative method defined by means of the new concept of admissible perturbation of a firmly nonexpansive mapping and a nonspreading mapping in Hilbert spaces.

Cuvinte cheie

firmly nonexpansive mapping nonspreading mapping admissible perturbation fixed point Krasnoselskij iteration