Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings

Agwu, Lmo; Igbokwe, Donatus Ikechi

doi:10.28924/ada/ma.2.10

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2023

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“…Defnition 8 (see [27]). If the limit in Defnition 7 exists and is attained uniformly for each s ∈V (and for ally ∈V), then Z is given the Frechet diferentiable norm (see [28] for more details). Consequent upon this, we have…”

Section: Relevant Preliminariesmentioning

confidence: 99%

A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces

Saleem,

Kalu Agwu,

Ishtiaq

et al. 2023

Journal of Mathematics

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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.

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Section: Relevant Preliminariesmentioning

confidence: 99%