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A functional equation arising in dynamic programming via a generalized F- weak contractions of Hardy-Rogers.
1 : Abbes Laghrour- Khenchela-
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In this work, we define the notion of generalized F-weak contraction and prove the corresponding fixed point theorem. Roughly speaking, we generalize and improve the notion of F-contraction of Hardy-Rogers-type in the setting of complete b-metric spaces. As an application we establish sufficient criteria for the existence and uniqueness of bounded solutions of functional equations in dynamic programming.
