SOME EXISTENCE THEOREMS UNDER NONEXPANSIVE MAPPINGS IN NONCOMPLETE METRIC SPACE

The aim of the present paper is two fold. Firstly, we investigate the existence of common fixed points for a pair of self-mappings satisfying non-expansive condition but without assuming the completeness of the space or containment of the ranges of the involved mappings. Secondly, we generalize the result obtained in first part for sequence of mappings, wherein some mappings need not require to satisfy any noncommuting conditions.