• USING DELBOSCO’S SET TO PROVE UNIFIED FIXED POINT THEOREMS IN THE SETTING OF 2-METRIC SPACES

P. L. SANODIA, ARVIND GUPTA, AMIT KUMAR PANDEY*, MANOJ UGHADE

Abstract


In this paper, we present some common fixed point theorems by using Delbosco’s set for two pairs of weakly compatible mappings in the setting of a 2-metric spaces. As an application of our main result, a generalized common fixed point theorem is also derived besides furnishing two illustrative examples.

Keywords


Delbosco’s set, fixed point, 2-metric spaces, and weakly compatible mappings.

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