Fixed Point Theorem on $F_{\Lambda}$-orbitally Complete Normed Spaces
Mathematica Moravica, Tome 9 (2005) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let X be a normed space and $x_0 \in X$. In this paper we proves the convergence of a convex sequence $x_n = \lambda x_{n−1} +(1−\lambda)f(x_{n−1})$, $\lambda \in (0, 1)$, to the fixed point of the $f$, where $f : X \to X$ is the nonexpansive completely continuous operator, which satisfies some nonexpansive conditions.
Mots-clés : Convex sequence, fixed point, $f_{\lambda}$-orbitally complete space 
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     author = {Branislav Mijajlovi\'c},
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Branislav Mijajlović. Fixed Point Theorem on $F_{\Lambda}$-orbitally Complete Normed Spaces. Mathematica Moravica, Tome 9 (2005) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2005_9_1_a4/