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Best proximity point theorems for some new cyclic mappings
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Best proximity point theorems for some new cyclic mappings

Chi-Ming ChenChao-Hung Chen
Journal of Applied Mathematics, 卷.2012, 643729
2012

摘要

Applied Mathematics
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). Copyright © 2012 Chi-Ming Chen and Chao-Hung Chen.

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https://doi.org/10.1155/2012/643729檢視
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