On Continuity of the best Approximation Map and Fixed Point Theorems
T. D. Narang, Sumit Chandok · Journal of the Indian Mathematical Society · 2011
The paper contains some results on the continuity of the best approximation map in normed linear spaces, on fixed point of a continuous nowhere normal outward map in metric linear spaces, and on fixed point of a nonexpansive map in the case of metric spaces. The proved results generalize and extend the earlier known results on the subject.