In this paper, we prove some common fixed point theorems for variants of R-weakly commuting mappings in parametric S-metric spaces. Our proved results extend and generalized my known results in the area of fixed point theory. At the end of the paper, we give example to prove the validity of proved results. Our proved results have many applications in area of Non linear programming, fuzziness and intuitionistic fuzziness.

Parametric S-metric space, variants of R-weakly commuting mappings, fixed point

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