Journals Information
Universal Journal of Applied Mathematics Vol. 2(2), pp. 104 - 108
DOI: 10.13189/ujam.2014.020205
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Cone Metric Version of Existence and Convergence for Best Proximity Points
Byung-Soo Lee *
Kyungsung University, Busan 608-736, Korea
ABSTRACT
In 2011, Gabeleh and Akhar [3] introduced semi-cyclic-contraction and considered the existence and convergence results of best proximity points in Banach spaces. In this paper, the author introduces a cone semi-cyclic 蠁-contraction pair in cone metric spaces and considers best proximity points for the pair in cone metric spaces. His results generalize the corresponding results in [1-5].
KEYWORDS
A Cone Semi-Cyclic 桅-Contraction Pair, Best Proximity Point, Cone Metric Space, Banach Space
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Byung-Soo Lee , "Cone Metric Version of Existence and Convergence for Best Proximity Points," Universal Journal of Applied Mathematics, Vol. 2, No. 2, pp. 104 - 108, 2014. DOI: 10.13189/ujam.2014.020205.
(b). APA Format:
Byung-Soo Lee (2014). Cone Metric Version of Existence and Convergence for Best Proximity Points. Universal Journal of Applied Mathematics, 2(2), 104 - 108. DOI: 10.13189/ujam.2014.020205.