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Some results related to fixed points of F-G-contractions on metric spaces equipped with w-distance

Abstract In this paper, we achieve some fixed point results for a newly furnished wider class of contraction mappings called (p, F, G)-contraction. Such a class is defined over a metric space where the concept of w-distance is used in place of a metric. Many previous results pertaining to G-contractions, Fw-contractions, F-G-contractions in the field of metric fixed point theory are subsumed in our main result. Various examples are constructed to justify the generality of our class of contraction mapping and extended results.