in this study, we investigate the further properties of quasi irresolute topological groupsde ned in [20]. we show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eg, then f is irresolute on g. later we prove that in a semi-connectedquasi irresolute topological group (g; ; ), if v is any symmetric semi-open neighborhood ofeg, then g is generated by v...

Abstract For nonconvex set optimization problems based on the less order relation, this paper presents characterizations of optimal sets and gives necessary conditions for inequalities non-optimal using directional derivatives. specific cones, derivatives known functionals describing negative cones are also given.

Abstract In the present paper, problem of estimating contingent cone to solution set associated with certain set-valued inclusions is addressed by variational analysis methods and tools. As a main result, inner (resp. outer) approximations, which are expressed in terms outer inner) prederivatives term appearing inclusion problem, provided. For evidence arises that metric increase property for m...