A family of discrete-time, super-twisting-like algorithms is presented. The algorithms are
naturally vector-valued and are described in an implicit fashion, reminiscent of backward …

In this paper, we consider the existence result of a nonstandard hemivariational inequalities
with 𝛼 𝑢, 𝑣-monotone mapping in reflexive and non reflexive Banachs space. Finally, we …

The purpose of this paper is to introduce and investigate θ-monotone operators and θ-
monotone bifunctions in the context of Banach space. Local boundedness of θ-monotone …

A family of discrete-time, super-twisting-like algorithms is presented. The algorithms are
naturally vector-valued and are described in an implicit fashion, reminiscent of backward …

In this paper, we provide sufficient conditions that ensure the convexity of the inverse images
of an operator, monotone in some sense. Further, conditions that ensure the monotonicity …

In this chapter, we introduce and study several kinds of relative strongly biconvex functions
with respect to an arbitrary function k and the bifunctions β (.,.), φ (.), which are called the …

In this paper, some topics of monotone operator theory in the setting of Hadamard spaces
are investigated. For a fixed element p in a Hadamard space X, the notion of p-Fenchel …

Results concerning local boundedness of operators have a long history. In 1994, Veselý
connected the concept of approximate monotonicity of an operator with local boundedness …

Results concerning local boundedness of operators have a long history. In 1994, Veselý
connected the concept of approximate monotonicity of an operator with local boundedness …

This work introduces a remarkable property of enlargements of maximal monotone
operators. The basic tool in our analysis is a family of enlargements, introduced by Svaiter …