In the present paper, by using the band matrix F defined by the Fibonacci sequence, we introduce the sequence sequence spaces c0( F ) and c( F ). Also, we give some inclusion relations and construct the bases of the spaces c0( F ) and c( F ). Finally, we compute the alpha-, beta-, gamma-duals of these spaces and characterize the classes (c0( F ), X) and (c( F ), X) for certain choice of the sequence space X.
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