Existence Result of Generalized Vector Quasiequilibrium Problems in Locally "Equation missing" -Convex Spaces
Somyot Plubtieng, Kanokwan Sıtthıthakerngkıet · Fixed Point Theory and Applications · 2011
Abstract This paper deals with the generalized strong vector quasiequilibrium problems without convexity in locally "Equation missing"-convex spaces. Using the Kakutani-Fan-Glicksberg fixed point theorem for upper semicontinuous set-valued mapping with nonempty closed acyclic values, the existence theorems for them are established. Moreover, we also discuss the closedness of strong solution set for the generalized strong vector quasiequilibrium problems.