$ \theta $-monotone operators and bifunctions

Abstract

The purpose of this paper is to introduce and investigate  $\theta$-monotone operators and $\theta$-monotone bifunctions in the context of Banach space. Local boundedness of $\theta$-monotone bifunctions in the interior of their domains is proved. Also, the difference of two $\theta$-monotone operators is
studied. Moreover, some relations between $\theta$-monotonicity and $\theta$-convexity are investigated.