APPROXIMATING COMMON FIXED POINT OF THREE MULTIVALUED MAPPINGS SATISFYING CONDITION (E) IN HYPERBOLIC SPACES

Austine Efut Ofem; Godwin Chidi Ugwunnadi; Ojen Kumar Narain; Jong Kyu Kim

doi:10.22771/nfaa.2023.28.03.03

APPROXIMATING COMMON FIXED POINT OF THREE MULTIVALUED MAPPINGS SATISFYING CONDITION (E) IN HYPERBOLIC SPACES

Austine Efut Ofem, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, Jong Kyu Kim^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w²-stability involving three multi-valued almost contraction mappings are considered. Several strong and Δ-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.

Original language	English
Pages (from-to)	623-646
Number of pages	24
Journal	Nonlinear Functional Analysis and Applications
Volume	28
Issue number	3
DOIs	https://doi.org/10.22771/nfaa.2023.28.03.03
Publication status	Published - 2023
Externally published	Yes

Keywords

Weak w-stability
multivalued almost contraction mappings
multivalued mappings satisfying condition (E)
strong and Δ-convergence

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10.22771/nfaa.2023.28.03.03

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abstract = "In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w2-stability involving three multi-valued almost contraction mappings are considered. Several strong and Δ-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.",

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AU - Narain, Ojen Kumar

AU - Kim, Jong Kyu

PY - 2023

Y1 - 2023

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AB - In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w2-stability involving three multi-valued almost contraction mappings are considered. Several strong and Δ-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.

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KW - strong and Δ-convergence

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EP - 646

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 3

ER -

APPROXIMATING COMMON FIXED POINT OF THREE MULTIVALUED MAPPINGS SATISFYING CONDITION (E) IN HYPERBOLIC SPACES

Abstract

Keywords

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