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

Byung-Soo  Lee

doi:10.3934/naco.2014.4.133

Article Contents

2014, Volume 4, Issue 2: 133-140. Doi: 10.3934/naco.2014.4.133

This issue Previous Article Mixed integer programming model for scheduling in unrelated parallel processor system with priority consideration Next Article A weighted-path-following method for symmetric cone linear complementarity problems

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

Byung-Soo Lee^1,

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

Received: May 2013

Revised: April 2014

Published: April 2014

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Abstract

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].

Keywords:

Cone metric,
generalized cone proximal $\varphi$-cyclic contraction pairs,
normal cone,
best proximity points,
non-self mappings.

Mathematics Subject Classification: 47H10, 54H25.

Citation:

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References

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