Well-posedness for the split equilibrium problem
Optimization and Control
2023-05-05 v1
Abstract
We extend the concept of well-posedness to the split equilibrium problem and establish Furi-Vignoli-type characterizations for the well-posedness. We prove that the well-posedness of the split equilibrium problem is equivalent to the existence and uniqueness of its solution under certain assumptions on the bifunctions involved. We also characterize the generalized well-posedness of the split equilibrium problem via the Kuratowski measure of noncompactness. We illustrate our theoretical results by several examples.
Keywords
Cite
@article{arxiv.2305.02696,
title = {Well-posedness for the split equilibrium problem},
author = {Soumitra Dey and V. Vetrivel and Hong-Kun Xu},
journal= {arXiv preprint arXiv:2305.02696},
year = {2023}
}