Proximal, Distal and Asymptotic Points in Compact Cone Metric Spaces


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New Zealand Journal of Mathematics

Vol. 46, (2016), Pages 135-140

P. Raja

Department of Mathematics,

Shahid Beheshti University,


P. O. Box 1983963113,

Tehran, Iran.

Abstract In this paper, proximal points, distal points, and asymptotic points of a self-mapping of cone metric spaces are introduced and some conditions on contractive self-mappings are obtained which ensure the existence of such points.

Keywords Cone metric space; fixed point; contractive mappings; proximal point; distal point; asymptotic point.

Classification (MSC2000) 47H10; 54H25.

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