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2012 Best Proximity Point Theorems for Some New Cyclic Mappings
Chi-Ming Chen, Chao-Hung Chen
J. Appl. Math. 2012: 1-14 (2012). DOI: 10.1155/2012/643729


By using the stronger Meir-Keeler mapping, we introduce the concepts of the sMK-G-cyclic mappings, sMK-K-cyclic mappings, and sMK-C-cyclic mappings, and then we prove some best proximity point theorems for these various types of contractions. Our results generalize or improve many recent best proximity point theorems in the literature (e.g., Elderd and Veeramani, 2006; Sadiq Basha et al., 2011).


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Chi-Ming Chen. Chao-Hung Chen. "Best Proximity Point Theorems for Some New Cyclic Mappings." J. Appl. Math. 2012 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1325.54026
MathSciNet: MR2948136
Digital Object Identifier: 10.1155/2012/643729

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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