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Best Proximity Point Theorems for Some New Cyclic Mappings

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  • Chi-Ming Chen
  • Chao-Hung Chen

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).

Suggested Citation

  • Chi-Ming Chen & Chao-Hung Chen, 2012. "Best Proximity Point Theorems for Some New Cyclic Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnljam:643729
    DOI: 10.1155/2012/643729
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