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In this paper, by introducing the concept of generalized Ciric-type weak ( ϕ g , R ) -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation R . We also deduce some useful consequences showing the usability of our results. Finally, we present an application to establish the solution of a system of integral equations.

Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application