On Cauchy completeness and convergence completeness in symmetric spaces

M. Aphane; S. P. Moshokoa

doi:10.1007/s13370-016-0412-5

On Cauchy completeness and convergence completeness in symmetric spaces

M. Aphane, S. P. Moshokoa^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of the paper is to continue the study of completeness for symmetric spaces. We study variants of completeness in symmetric spaces and present some properties regarding completeness in symmetric spaces. Finally, as an application of completeness we will present the fixed point result for multivalued maps.

Original language	English
Pages (from-to)	1321-1328
Number of pages	8
Journal	Afrika Matematika
Volume	27
Issue number	7-8
DOIs	https://doi.org/10.1007/s13370-016-0412-5
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

Cauchy complete
Convergence complete
Extensions of symmetric spaces
Fixed point
Symmetric space

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10.1007/s13370-016-0412-5

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title = "On Cauchy completeness and convergence completeness in symmetric spaces",

abstract = "The purpose of the paper is to continue the study of completeness for symmetric spaces. We study variants of completeness in symmetric spaces and present some properties regarding completeness in symmetric spaces. Finally, as an application of completeness we will present the fixed point result for multivalued maps.",

keywords = "Cauchy complete, Convergence complete, Extensions of symmetric spaces, Fixed point, Symmetric space",

author = "M. Aphane and Moshokoa, {S. P.}",

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KW - Convergence complete

KW - Extensions of symmetric spaces

KW - Fixed point

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On Cauchy completeness and convergence completeness in symmetric spaces

Abstract

Keywords

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