Relation-Theoretic Common Fixed Point Theorems for a Pair of Implicit Contractive Maps in Metric Spaces


  • Kanayo Stella Eke Department of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P.M.B. 1023, Ota, Ogun State
  • Bijan Davvaz Department of Mathematics, Yazd University, Yazd, P. O. Box 89195-741
  • Jimevwo Godwin Oghonyon Department of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P.M.B. 1023, Ota, Ogun State



Common fixed points, Weakly compatible mappings, Binary relation, Implicit function


In this manuscript, we demonstrate some common fixed point theorems for a pair of weakly compatibleness of the operators under implicit contractive properties in metric spaces endowed with binary relation. An illustration is establish to emphaize the cogency of our results. The outcome of our proofs are unification of several relation theorems existing in the literature.


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How to Cite

Eke, K. S., Davvaz, B., & Oghonyon, J. G. (2019). Relation-Theoretic Common Fixed Point Theorems for a Pair of Implicit Contractive Maps in Metric Spaces. Communications in Mathematics and Applications, 10(1), 159–168.



Research Article