20–24 May 2024
Baia Mare, Technical University of Cluj-Napoca
Europe/Bucharest timezone

Weak snd Strong Convergence Theorems for Krasnoselskii Iterative algorithm in the class of enriched strictly pseudocontractive and enriched nonexpansive operators in Hilbert Spaces

20 May 2024, 14:15
15m
A2 (Baia Mare, Technical University of Cluj-Napoca)

A2

Baia Mare, Technical University of Cluj-Napoca

Mathematics Mathematics

Speaker

Liviu Ignat Socaciu (UTCN)

Description

In this paper, we present some results about
the aproximation of fixed points of enriched strictly
pseudocontractive and enriched nonexpansive op-
erators. There are numerous works in this regard
(for example [9], [10], [11] [14], [16], [35] and ref-
erences to them). Of course, the bibliografical ref-
erences are extensive and they are mentioned at
the end of this paper. In order to approximate
the fixed points of enriched strictly pseudocontrac-
tive and enriched nonexpansive mappings, we use
the Krasnoselskii iterative algorithm for which we
prove weak and strong convergence theorems.
Also, in this paper, we make a comparative study
about some classical convergence theorems from
the literature in the class of enriched strictly pseu-
docontractive and enriched nonexpansive mappings.

Primary author

Presentation materials