Abstract:
The aim of this paper is to obtain some common fixed point results on an
$S$-metric space.
For this purpose, we prove new generalized common fixed point theorems using the notions
of
weak commutation,
compatibility, and orbital
continuity for two and four continuous self-mappings.
Our main results generalize
the known common fixed point theorems on metric spaces.
Keywords:common fixed point, continuity,
$S$-metric.
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