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

7 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

Cite this

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

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.",

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

author = "Ofem, \{Austine Efut\} and Ugwunnadi, \{Godwin Chidi\} and Narain, \{Ojen Kumar\} and Kim, \{Jong Kyu\}",

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doi = "10.22771/nfaa.2023.28.03.03",

language = "English",

volume = "28",

pages = "623--646",

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AU - Ofem, Austine Efut

AU - Ugwunnadi, Godwin Chidi

AU - Narain, Ojen Kumar

AU - Kim, Jong Kyu

PY - 2023

Y1 - 2023

N2 - 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.

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.

KW - Weak w-stability

KW - multivalued almost contraction mappings

KW - multivalued mappings satisfying condition (E)

KW - strong and Δ-convergence

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VL - 28

SP - 623

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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