Coincidence Point Results on Relation Theoretic Fw,Rg-Contractions and Applications

Coincidence Point Results on Relation Theoretic Fw,Rg-Contractions and Applications

Blog Article

Motivated by the ideas of F-weak contractions and F,Rg-contractions, the notion of Fw,Rg-contractions is introduced and studied in the present paper.The idea is to establish some interesting results for Madeleine Pans/Molds the existence and uniqueness of a coincidence point for these contractions.Further, using an additional condition of weakly compatible mappings, a common fixed-point theorem and a fixed-point result are proved for Fw,Rg-contractions in metric spaces equipped with a transitive binary relation.The results are elaborated by illustrative examples.Some consequences of these results are also deduced in ordered metric spaces and metric AC-AC Transformers spaces endowed with graph.

Finally, as an application, the existence of the solution of certain Voltera type integral equations is investigated.