On some Banach space properties sufficient for normal structure | Zendy

Mina Dinarvand | Zendy

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On some Banach space properties sufficient for normal structure

Author(s) -

Mina Dinarvand

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1705305d

Subject(s) - mathematics , banach space , property (philosophy) , constant (computer programming) , pure mathematics , mathematical analysis , space (punctuation) , point (geometry) , geometry , philosophy , linguistics , epistemology , computer science , programming language

In this paper, we present some sufficient conditions for which a Banach space has normal structure and therefore the fixed point property for nonexpansive mappings in terms of the generalized James, von Neumann-Jordan, Zbăganu constants, the Ptolemy constant and the Dominguez-Benavides coefficient. Our main results extend and improve some known results in the recent literature.

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