SEMI-COMPATIBILITY AND FIXED POINTS OF EXPANSION MAPPINGS IN 2-METRIC SPACES

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Bijendra Singh
Shobha Jain

Abstract





This paper introduces the notion of semi-compatible self-maps in 2-metric spaces and establishes a fixed point theorem for four self-maps, satisfying an implicit relation through semi-compatibility of a pair of self-maps. This results in another fixed point theorem for four expansion maps which generalizes and improves many results of Kang et. al. [5] with an application.





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