SOLVABILITY TO COUPLED SYSTEMS OF FUNCTIONAL EQUATIONS VIA FIXED POINT THEORY

H. ISIK

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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.