Fixed point theorems in r-normed and locally r-convex spaces and applications
Fixed point theorems in r-normed and locally r-convex spaces and applications
In this paper we prove some new fixed point theorems in r-normed and locally r-convex spaces.Our conclusions generalize many well-known results and provide a partial affirmative answer to Schauder's conjecture.Based on the obtained results, we prove the analogue of a Von Neumann's theorem in locally r-convex spaces.In addition, an application …