Generalization of the Banach contraction principle

2013/09/30 by Berzig, Maher
#46T99 #47H10 #54E50 #54H25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.0995

Abstract

We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle. An example is provided to illustrate our result.

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