Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces

Autor:	Salisu Sani, Kumam Poom, Sriwongsa Songpon
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fixed point monotone vector field proximal point algorithm resolvent operator tangent space 47h05 47j25 49j40 65k10 65k15 Analysis QA299.6-433
Zdroj:	Analysis and Geometry in Metric Spaces, Vol 11, Iss 1, Pp 1029-1039 (2023)
Druh dokumentu:	article
ISSN:	2299-3274 62634534
DOI:	10.1515/agms-2022-0150
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/626345340e9948179ccb98ffcc557db3 Zobrazit plný text záznamu View record in DOAJ