@article{Abed_Abed II_2021, title={Results on a faster iterative scheme for a generalized monotone asymptotically }, volume={20}, url={https://rajpub.com/index.php/jam/article/view/9082}, DOI={10.24297/jam.v20i.9082}, abstractNote={<p>This article devoted to present results on convergence of  Fibonacci-Halpern scheme (shortly, FH) for monotone asymptotically α<sub>n-</sub>nonexpansive  mapping (shortly, <em>ma α<sub>n</sub></em><em>-n</em> mapping) in partial ordered Banach space (shortly, POB space). Which are auxiliary theorem for demi-close’s proof of this type of mappings, weakly convergence of increasing FFH-scheme to a fixed point with aid monotony of a norm and  Σ<sub>n</sub><sup>+</sup><sub>=</sub><sup>∞</sup><sub>1 </sub>λ<sub>n</sub>= +∞, λ<sub>n </sub>=min{h<sub>n , </sub>(1-h<sub>n</sub>)} where h<sub>n </sub>⸦ (0,1) <span style="font-size: 0.875rem;">  where is associated with FH-scheme for an integer n>0 more than that, convergence amounts to be strong by using Kadec-Klee property and finally, prove that this scheme is weak-<em>w</em><sup>2</sup> stable up on suitable status.</span></p>}, journal={JOURNAL OF ADVANCES IN MATHEMATICS}, author={Abed, Athraa Najeb and Abed II, Salwa Salman}, year={2021}, month={Aug.}, pages={356–370} }