KKM and Ky Fan Theorems in Hyperconvex Metric Spaces

AbstractIn hyperconvex metric spaces, we introduce Knaster–Kuratowski–Mazurkiewicz mappings. Then we prove an analogue to Ky Fan's fixed point theorem in hyperconvex metric spaces

On the stability of the fixed point property in lp spaces

We prove in this work that for any p and gt; 1 there exists an improved constant Cp, such that if d( X, Ip) and lt; cp then X has the fixed point propert

On Nearly uniformly convex metric spaces

In this work, we define the nearly uniform convexity and the D-uniform convexity in metric spaces, and prove their equivalence. We also prove the nonlinear version of some classical results related to nearly uniformly convex metric spaces