Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces
Abstract: This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a minimization problem, and a common fixed point of multivalued demicontractive mappings in Hadamard spaces. We apply our results to find mean and median values of probabilities, minimize energy of measurable mappings, and solve a kinematic problem in robotic motion control. We also include a numerical example to show the applicability of the schemes. Our findings corroborate some recent findings.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces ; volume:11 ; number:1 ; year:2023 ; extent:25
Analysis and geometry in metric spaces ; 11, Heft 1 (2023) (gesamt 25)
- Creator
- DOI
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10.1515/agms-2022-0150
- URN
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urn:nbn:de:101:1-2023042914190359271793
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:46 AM CEST
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Associated
- Salisu, Sani
- Kumam, Poom
- Sriwongsa, Songpon
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