Some results on generalized mean nonexpansive mapping in complete metric spaces

Mebawondu, A. A.; Izuchukwu, Chinedu; Abass, H. A.

doi:10.5269/bspm.44174

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…inequality and split zero problem to mention a few, see [1,6,5,8,16,18,19,22,23] which have been studied extensively by many authors and applied to solving many real life problems such as modelling of inverse problems arising from phase retrievals and sensor networks in computerised tomography and data compression. We denote by Γ A the solution set of ( 3)-( 4).…”

Section: Introductionmentioning

confidence: 99%

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Solving Multiple-Sets Split Monotone Variational Inclusion Problem in Real Hilbert Spaces.

Abass

2023

AnnalsARSciMath

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In this paper, we study and introduce a self adaptive method together with a Halpern iterative algorithm for approximating solutions of multiple-sets split monotone variational inclusion problem which includes the multiple-sets split feasibility problem, split feasibility problem, split monotone variational inclusion problem and split variational inclusion problem, to mention a few. Using our iterative algorithm, we prove a strong convergence result for approximating the solution of the aforementioned problems. Numerical examples on finite-dimensional and infinite-dimensional spaces are displayed to illustrate the performance of our iterative method. The result discussed in this article extends and complements many related results in literature.

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Section: Introductionmentioning

confidence: 99%

“…1. We considered approximating the solution of MSSMVIP ( 7)-( 8) in real Hilbert spaces which is more general than the results of [1,8,5,18,19,21,24].…”

Section: Introductionmentioning

confidence: 99%

Solving Multiple-Sets Split Monotone Variational Inclusion Problem in Real Hilbert Spaces.

Abass

2023

AnnalsARSciMath

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Fixed point results for generalized multivalued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces

Leyew

Abbas

2022

Topological Algebra and Its Applications

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In the present article, we introduce a new type of generalized multivalued orthogonal α-Fcontraction of integral type mappings in the context of orthogonal metric spaces and establish some fixed point results. We construct an example to show the existence of the new type of mappings introduce in this work. Our results substantially unify, generalize and complement the comparable results in the existing literature. As an application of our results, we derive periodic point results for the generalized single valued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces.

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Some fixed point and stability results in $ b $-metric-like spaces with an application to integral equations on time scales

Kalkan,

Şahin,

Aloqaily

et al. 2024

MATH

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<abstract><p>This paper presents the stability theorem for the $ T $-Picard iteration scheme and establishes the existence and uniqueness theorem for fixed points concerning $ T $-mean nonexpansive mappings within $ b $-metric-like spaces. The outcome of our fixed point theorem substantiated the existence and uniqueness of solutions to the Fredholm-Hammerstein integral equations defined on time scales. Additionally, we provided two numerical examples from distinct time scales to support our findings empirically.</p></abstract>

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Some results on generalized mean nonexpansive mapping in complete metric spaces

Cited by 3 publications

References 17 publications

Solving Multiple-Sets Split Monotone Variational Inclusion Problem in Real Hilbert Spaces.

Solving Multiple-Sets Split Monotone Variational Inclusion Problem in Real Hilbert Spaces.

Fixed point results for generalized multivalued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces

Some fixed point and stability results in $ b $-metric-like spaces with an application to integral equations on time scales

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