@article{Pioon2024, 
author = {Jedsadapong Pioon and Narin Petrot and Nimit Nimana},
title = {Convergence of distributed approximate subgradient method for minimizing convex function with convex functional constraints},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19154-19175},
keywords = {approximate subgradient, subgradient method, convex, convergence},
url = {https://www.sciopen.com/article/10.3934/math.2024934},
doi = {10.3934/math.2024934},
abstract = {In this paper, we investigate the distributed approximate subgradient-type method for minimizing a sum of differentiable and non-differentiable convex functions subject to nondifferentiable convex functional constraints in a Euclidean space. We establish the convergence of the sequence generated by our method to an optimal solution of the problem under consideration. Moreover, we derive a convergence rate of order        O    (      N          1      −      a        ) for the objective function values, where    a  ∈  (  0.5  ,  1  ). Finally, we provide a numerical example illustrating the effectiveness of the proposed method.}
}