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Fixed Point of Multifunctions on Cone Metric Spaces.

Authors :
Rezapour, Sh.
Haghi, R. H.
Source :
Numerical Functional Analysis & Optimization; Jul/Aug2009, Vol. 30 Issue 7/8, p825-832, 8p
Publication Year :
2009

Abstract

On a vector space, one can define an order by using a cone in the vector space. In this way, Huang and Zhang reviewed cone metric spaces as a generalization of metric spaces with a different view (J. Math. Anal. Appl. 2007; 332:1468-1476). Most known cones are normal with normal constant M = 1. In this paper, we shall give some results about fixed point of multifunctions on the cone metric spaces with normal constant M = 1. In this way, we shall provide a generalization for main results of Kunze et al. (J. Math. Anal. Appl. 2007; 330:159-173). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01630563
Volume :
30
Issue :
7/8
Database :
Complementary Index
Journal :
Numerical Functional Analysis & Optimization
Publication Type :
Academic Journal
Accession number :
44032683
Full Text :
https://doi.org/10.1080/01630560903123346