Fixed points theorems and quasi-variational inequalities in G-convex spaces
M. Fakhar, J. Zafarani · Bulletin of the Belgian Mathematical Society - Simon Stevin · 2005
We obtain a generalized continuous selection theorem and a coincidence theorem for generalized convex spaces. Some new Himmelberg type theorems and Eilenberg-Montgomery and Gorniéwicz type fixed point theorems for mappings with KKM property are established in noncompact LG-spaces. Moreover, applications to these fixed point theorems for existence of equilibria are given.