REICH-TYPE CONTRACTIVE MAPPING INTO A COMPLETE METRIC SPACE AND CONTINUOUS, INJECTIVE AND SUBSEQUENTIALLY CONVERGENT MAPPING

Abstract

In this paper, is given a generalization of the fixed point theorem of the Reich-type mapping on a complete metric space . Continuous, injective and sub-sequentially convergent mapping  was used, as well as is taken that function  is from the class  continuous monotonically nondecreasing functions  such that , where it is additionally assumed that it is subadditive, i.e. , for each .