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Topological and geometric properties of some new sequence spaces of generalized difference operator

  • *Corresponding author: Murat Karakas

    *Corresponding author: Murat Karakas 
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  • In the present paper, we construct some new Banach spaces by applying the generalized difference operator $ \Delta ^{m}. $ We investigate some topological properties of these sequence spaces. Also, we consider it equipped with the Luxemburg norm under which it is a Banach space. Then, we show that it possesses the uniform Opial property and property (H). Finally we give some results about the fixed point theory.

    Mathematics Subject Classification: Primary: 46A45, 40C05; Secondary: 40A05.

    Citation:

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