Coincidence Point Results on Relation Theoretic <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mfenced open="(" close=")"> <mrow> <msub> <mrow> <mi>F</mi> </mrow> <mrow> <mi>w</mi> </mrow> </msub> <mo>,</mo> <mi mathvariant="script">R</mi> </mrow> </mfenced> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </math>-Contractions and Applications

Motivated by the ideas of F -weak contractions and id="M3"> , R g -contractions, notion id="M4"> w -contractions is introduced studied in present paper. The idea to establish some interesting results for existence uniqueness a coincidence point these contractions. Further, using an additional condition weakly compatible mappings, common fixed-point theorem result are proved id="M5"> metric spaces equipped with transitive binary relation. elaborated illustrative examples. Some consequences also deduced ordered endowed graph. Finally, as application, solution certain Voltera type integral equations investigated.