Browsing by Author "Agwu, Imo Kalu"

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Citation - WoS: 2
Citation - Scopus: 2
Equivalence of Novel Ih-Implicit Fixed Point Algorithms for a General Class of Contractive Maps
(Amer inst Mathematical Sciences-aims, 2023) Ishtiaq, Umar; Saleem, Naeem; Igbokwe, Donatus Ikechi; Jarad, Fahd; Agwu, Imo Kalu
In this paper, a novel implicit IH-multistep fixed point algorithm and convergence result for a general class of contractive maps is introduced without any imposition of the "sum conditions" on the countably finite family of the iteration parameters. Furthermore, it is shown that the convergence of the proposed iteration scheme is equivalent to some other implicit IH-type iterative schemes (e.g., implicit IH-Noor, implicit IH-Ishikawa and implicit IH-Mann) for the same class of maps. Also, some numerical examples are given to illustrate that the equivalence is true. Our results complement, improve and unify several equivalent results recently announced in literature.
A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces
(Wiley, 2023) Agwu, Imo Kalu; Ishtiaq, Umar; Jarad, Fahd; Saleem, Naeem
In this paper, firstly, we introduce a method for finding common fixed point of L-Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and L-Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Banach space. Secondly, the demiclosedness principle for total asymptotically strictly pseudo-non-spreading non-self-mappings is established. Thirdly, the weak convergence theorems of the proposed method to the common fixed point of the above mappings are proved. Our results improved, extended, and generalized some corresponding results in the literature.