SOME STABILITY RESULTS IN FIXED POINT THEORY FOR CAT(۰) SPACES

Kirk introduced the fixed point property for nonexpansive mappings in complete CAT(۰) spaces. As aconsequence of this, we consider a complete metric space of all the nonexpansive self-mapping on K andshow that there exists a subset of this space whose every element has a fixed point which is stable undersmall perturbations of the mapping.We also prove some theorems in such spaces.