Abstract
In this paper we prove the approximation results for existence and uniqueness of the solution of PBVPs of nonlinear first order ordinary functional differential equations in a closed subset of the Banach space. We employ the Dhage monotone iteration method based on a recent hybrid fixed point theorem of Dhage (2022) and Dhage {\em et al.} (2022) for the main results of this paper. Finally an example is indicated to illustrate the abstract ideas involed in the approximation results.
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