Journal of the Ramanujan Mathematical Society
Volume 34, Issue 1, March 2019 pp. 29–41.
On G (λ)-strictly pseudocontractive mapping in Hilbert spaces
Authors:
F. U. Ogbuisi and O. T. Mewomo
Author institution:School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Summary:
The purpose of this paper is to study G (λ)-strictly
pseudocontractive mapping in a Hilbert space endowed with a
directed graph. Moreover, we extend the results of Tiammee
et al. [Tiammee et al. On Browder's convergence theorem and
Halpern iteration process for G-nonexpansive mappings in Hilbert
spaces endowed with graphs, Fixed point theory and applications
(2015) 2015:187 DOI 10.1186/s13663-015-0436-9] obtained for
G-nonexpansive mappings to G (λ)-strictly
pseudocontractive mapping in Hilbert spaces.
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