A Large Class of Closed, Bounded and Convex Subsets in Köthe-Toeplitz Duals of Certain Generalized Difference Sequence Spaces with Fixed Point Property

Abstract

In the present study, we consider the Köthe-Toeplitz duals for the 2nd order and 3rd order types difference sequence space generalizations by Et and Esi studied in 2000. We work on Goebel and Kuczumow analogy for those spaces to obtain large classes of closed, bounded and convex subsets satisfying the fixed point property. In the study, we also study some other Banach spaces in connection with the Köthe-Toeplitz duals for the 2nd order and 3rd order generalized difference sequence spaces.

Keywords

• Fixed point property
• nonexpansive mapping
• Köthe-Toeplitz dual

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