Displaying similar documents to “On the sets of sequences that are strongly α -bounded and α -convergent to naught with index p .”

On some BK spaces.

De Malafosse, Bruno (2003)

International Journal of Mathematics and Mathematical Sciences

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Calculations in new sequence spaces

Bruno de Malafosse (2007)

Archivum Mathematicum

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In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index p > 0 of r -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.

Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point

K. P. R. Sastry, G. V. R. Babu (2005)

Czechoslovak Mathematical Journal

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Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map T with a fixed point p and prove that these iterates converge to a fixed point q of T under certain conditions. This fixed point q may be different...