Common Fixed Point Theorems For Weakly Compatible Mappings Satisfying Rational Contractive Conditions In Complete Metric Spaces
DOI:
https://doi.org/10.61841/x1re3w74Keywords:
Complete metric spaces, fixed points, compatible mapping, weak compatible mappingAbstract
By using notions of compatibility, weak compatibility, and commutativity, Goyal ([5], [6]) proves some common fixed point theorems for six mappings involving rational contractive conditions in complete metric spaces. In this paper, we prove a common fixed point theorem for three pairs of weakly compatible mappings in complete metric spaces satisfying a rational inequality without any continuity requirement, which generalizes several previously known results due to Imdad and Ali [12], Goyal [5], Imdad-Khan [13], Jeong-Rhoades [7], and others.
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