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Kkm Mappings in Cone Metric Spaces and Some Fixed Point Theorems

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Date

2010

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Volume Title

Publisher

Pergamon-elsevier Science Ltd

Open Access Color

Green Open Access

Yes

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No
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Abstract

In this paper, we define KKM mappings in cone metric spaces and define NR-cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045-1052]. (C) 2009 Elsevier Ltd. All rights reserved.

Description

Abdeljawad, Thabet/0000-0002-8889-3768

Keywords

Kkm Property, Fixed Point, Cone Metric Space, Admissible Set, Totally Bounded, Minihedral Cone, Strongly Minihedral Cone, Closed Ball, Semicontinuous, Approximate Fixed Point Property, Compactly Open, Hyperconvex Cone Metric Space, Selection Continuous, KKM property, strongly minihedral cone, admissible set, Fixed-point and coincidence theorems (topological aspects), cone metric space, semicontinuous, closed ball, approximate fixed point property, fixed point, selection continuous, minihedral cone, compactly open, totally bounded, hyperconvex cone metric space

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Türkoğlu, D., Abuloha M., Abdeljavad T. (2010). KKM mappings in cone metric spaces and some fixed point theorems. Nonlinear Analysis-Theory Methods&Application, 72(1), 348-353. http://dx.doi.org/10.1016/j.na.2009.06.058

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OpenCitations Citation Count
29

Source

Nonlinear Analysis: Theory, Methods & Applications

Volume

72

Issue

1

Start Page

348

End Page

353
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Scopus : 49

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