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


CRISTINA Ĺ˘ICALÄ‚
Technical University of Cluj-Napoca, North University Center of Baia Mare Department of Mathematics and Informatics Address: Victoriei Nr. 76, Baia Mare, 430122, ROMANIA e-mail: cristina.ticala.pop@gmail.com

Issue:

SSRSMI, Number 1, Volume XXV

Section:

Volume 25, Number 1

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.

Keywords:

firmly nonexpansive mapping, nonspreading mapping, admissible perturbation, fixed point, Krasnoselskij iteration.

Code [ID]:

SSRSMI201501V25S01A0019 [0004228]

DOI:

Full paper:

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