This paper provides a study of the stable and unstable regions around the smaller primary in the framework of the spatial elliptic restricted three-body problem. The definitions and methods used to determine stable and unstable regions are extended to three dimensions. New results concerning the stable and unstable regions around Mercury are obtained in the SunMercury system.Keywords weak stability boundary · weak capture · spatial elliptic restricted three-body problem

In this paper we introduced a new definition of vector topological pseudomonotonicity to study the parametric weak vector equilibrium problems. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.

No abstract

Parametric vector equilibrium problems, Vector topological pseudomonotonicity, Mosco convergence, Hadamard well-posedness, 49N60, 90C31,

The purpose of this paper is to study the parametric operator equilibrium problems. By using new definitions of vector topological pseudomonotonicity we give sufficient conditions for closedness of the solution map. The Hadamard wellposedness of the parametric operator equilibrium problems is also analyzed.