Abstract
The aim of this paper is broadly two fold. Firstly, we define a new class of implicit function unifying a multitude of strict contractive conditions and utilize the same to prove a general common fixed point theorem for two pairs of weak compatible mappings satisfying common property $(E.A)$ when underlying space is not necessarily compact. Secondly, we show that common property $(E.A)$ relaxes the required containment of ranges of the involved mappings in common fixed point considerations up to two pairs of mappings.
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