Best Proximity Point Theorems for Some New Cyclic Mappings

Chi-Ming Chen and Chao-Hung Chen

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

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).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:643729

DOI: 10.1155/2012/643729

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