Sum of two maximal monotone operators in a general Banach space is maximal
Functional Analysis
2019-02-11 v2
Abstract
In a real Banach space, we first prove that the sum of a monotone operator of type (FPV) and maximal monotone operator Rockafellar's constraint qualification is maximal. This prove leads to the solution of most interesting long-time outstanding problem in monotone operator theory is the sum problem.
Keywords
Cite
@article{arxiv.1505.04879,
title = {Sum of two maximal monotone operators in a general Banach space is maximal},
author = {S. R. Pattanaik and D. K. Pradhan and S. Pradhan},
journal= {arXiv preprint arXiv:1505.04879},
year = {2019}
}
Comments
The proof in main result is not correct and some assumptions are not true