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2014, 4(2): 133-140. doi: 10.3934/naco.2014.4.133

## Existence and convergence results for best proximity points in cone metric spaces

 1 Department of Mathematics, Kyungsung University, Busan 608-736

Received  May 2013 Revised  April 2014 Published  May 2014

In this paper, the author introduces generalized cone proximal $\varphi$-cyclic contraction pairs in cone metric spaces and considers the existence and convergence of best proximity point for a pair in cone metric spaces. His results generalize the corresponding results in [1, 4, 5, 7, 8, 12, 13, 15].
Citation: Byung-Soo Lee. Existence and convergence results for best proximity points in cone metric spaces. Numerical Algebra, Control & Optimization, 2014, 4 (2) : 133-140. doi: 10.3934/naco.2014.4.133
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