
doi: 10.5269/bspm.40499
We concern this manuscript with Geraghty type contraction mappings via simulation functions and pull down some sufficient conditions for the existence and uniqueness of point of coincidence for several classes of mappings involving Geraghty functions in the setting of metric spaces. These findings touch up many of the existing results in the literature. Additionally, we elicit one of our main result by a non-trivial example and pose an interesting open problem for the enthusiastic readers.
simulation function, Fixed-point and coincidence theorems (topological aspects), Geraghty type contraction mappings, common fixed point, compatible mappings, compatible mapping, Geraghty-type contraction mapping, point of coincidence, simulation function., QA1-939, Special maps on metric spaces, Mathematics
simulation function, Fixed-point and coincidence theorems (topological aspects), Geraghty type contraction mappings, common fixed point, compatible mappings, compatible mapping, Geraghty-type contraction mapping, point of coincidence, simulation function., QA1-939, Special maps on metric spaces, Mathematics
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