English

Approaching the maximal monotonicity of bifunctions via representative functions

Optimization and Control 2019-11-13 v3 Functional Analysis

Abstract

We provide an approach to maximal monotone bifunctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A.N. Iusem and, respectively, N. Hadjisavvas and H. Khatibzadeh, where sufficient conditions guaranteeing the maximal monotonicity of bifunctions were introduced. New results involving the sum of two monotone bifunctions are also presented.

Keywords

Cite

@article{arxiv.1105.5550,
  title  = {Approaching the maximal monotonicity of bifunctions via representative functions},
  author = {Radu Ioan Bot and Sorin-Mihai Grad},
  journal= {arXiv preprint arXiv:1105.5550},
  year   = {2019}
}

Comments

2nd version: 11 pages added the new Theorem 14 to the original submission

R2 v1 2026-06-21T18:13:38.236Z