SOLVABILITY TO COUPLED SYSTEMS OF FUNCTIONAL EQUATIONS VIA FIXED POINT THEORY

Abstract

The purpose of the present paper is to establish the existence and uniquness of coupled common xed points for a pair of mappings satisfying F-contraction. As a consequence of our results, we discuss the existence of a unique common solution of coupled systems of functional equations arising in dynamic programming.

Keywords

• coupled common xed point,F-contraction,metric space,coupled system of functional equation.

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