Open AccessOne step proximal point schemes for monotone vector field inclusion problems
Author(s) -
Sani Salisu,
AUTHOR_ID,
Poom Kumam,
Songpon Sriwongsa,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022412
Subject(s) - monotone polygon , mathematics , countable set , robustness (evolution) , vector field , convergence (economics) , regular polygon , discrete mathematics , mathematical optimization , pure mathematics , geometry , biochemistry , chemistry , economics , gene , economic growth
In this paper, we propose one step convex combination of proximal point algorithms for countable collection of monotone vector fields in CAT(0) spaces. We establish $ \Delta $-convergence and strong convergence theorems for approximating a common solution of a countable family of monotone vector field inclusion problems. Furthermore, we apply our methods to solve a family of minimization problems, compute Frechét mean and geometric median in CAT(0) spaces, and solve a kinematic problem in robotic motion control. Finally, we give a numerical example to show the efficiency and robustness of the proposed scheme in comparison to a known scheme in the literature.