Convergence results of a faster iterative scheme including multi-valued mappings in Banach spaces
Filomat, Tome 35 (2021) no. 4, p. 1359
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In this paper, we study M-iterative scheme in the new context of multi-valued generalized α-nonexpansive mappings. A uniformly convex Banach space is used as underlying setting for our approach. We also provide a new example of generalized α-nonexpasive mappings. We connect M iterative scheme and other well known schemes with this example, to show the numerical efficiency of our results. Our results improve and extend many existing results in the current literature
Classification :
47H10, 47H09
Keywords: Generalized α-nonexpansive mapping, M-iteration, condition I, Banach space
Keywords: Generalized α-nonexpansive mapping, M-iteration, condition I, Banach space
Kifayat Ullah; Junaid Ahmad; Muhammad Safi Ullah Khan; Naseer Muhammad. Convergence results of a faster iterative scheme including multi-valued mappings in Banach spaces. Filomat, Tome 35 (2021) no. 4, p. 1359 . doi: 10.2298/FIL2104359U
@article{10_2298_FIL2104359U,
author = {Kifayat Ullah and Junaid Ahmad and Muhammad Safi Ullah Khan and Naseer Muhammad},
title = {Convergence results of a faster iterative scheme including multi-valued mappings in {Banach} spaces},
journal = {Filomat},
pages = {1359 },
year = {2021},
volume = {35},
number = {4},
doi = {10.2298/FIL2104359U},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104359U/}
}
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