Split common fixed point problem for Bregman demigeneralized mappings in Banach spaces with applications

Ali, Bashir; Ugwunnadi, Godwin Chidi; Lawan, M. S.

doi:10.22436/jnsa.013.05.04

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2021

2024

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Cited by 5 publications

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“…Under some conditions on the parameter sequences, they obtained the sequence {x n } converges strongly to P f Ω x 1 (see [2] for more details). Recently, Ali et al [1] obtained some relation between Bregman demigeneralized mapping and Bregman quasi-nonexpansive mappings, they also introduced the following iterative algorithm in reflexive Banach space:…”

Section: Introductionmentioning

confidence: 99%

Perturbed Halpern-type Algorithm Involving Multiple Split Equality Problems With Application to Dynamical Systems

ALI,

NUHU

2024

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In this paper, we study multiple split equality problem involving finite family of split equality problems, fixed point problems and monotone variational inclusion problems in p-uniformly convex uniformly smooth real Banach space. We propose Halpern-type iterative algorithm for obtaining common solution of the problems listed above and derive strong convergence theorem for the algorithm under standard and mild conditions. The algorithm does not require prior knowledge of operator norm. We give some application of split equality problem in obtaining stablity of some dynamical systems, we also introduce a new dynamical system. 2020 Mathematics Subject Classification. 47H09, 47J25.

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Section: Introductionmentioning

confidence: 99%