arXiv:2201.04262v1 [math.OC] 12 Jan 2022 Page 1 arXiv:2201.04262v1 [math.OC] 12 Jan
2022 A note on coupled constraint Nash games Orestes Bueno* Carlos Calderon† John …

The notion of σ-monotone polarity for σ-subdifferential is introduced and studied. Also, the
concept of Fréchet σ-subdifferential is introduced and then some results regarding this …

In this note we are interested in a relevant generalized Nash equilibrium problem, which
was proposed by Rosen in 1965. An existence result is established in the general setting of …

We deal with the generalized Nash game proposed by Rosen, which is a game with strategy
sets that are coupled across players through a shared constraint. A reduction to a classical …

In this paper we deal with set-valued maps T: X⇉ X⁎ defined on a Banach space X, that are
generalized monotone in the sense of Karamardian. Under various continuity assumptions …

In this work, we study the pseudomonotonicity of multivalued operators from the point of view
of polarity, in an analogous way as the well-known monotone polar due to Martínez-Legaz …

In this paper we study some properties of the adjusted normal cone operator of quasiconvex
functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued …

In this article, the new notions of maximal r-monotone operator and r-polar are introduced
and studied. Then, first-order characterizations for smooth and locally Lipschitz r-monotone …

In this paper, we deal with three aspects of p-cyclically monotone operators. First, we
introduce a notion of monotone polar adapted for p-cyclically monotone operators and study …

1.1 Introduction r-convexity [5] is of interest and appears in the practical areas of generalized
convex optimization and Economics. This chapter proves the important question of …