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<p>We introduce polynomial-type contractions for cyclic and non-self mappings in the setting of metric spaces and establish the existence of best proximity points for such mappings. Our results generalize the cyclic contraction results of Eldred and Veeramani (J. Math. Anal. Appl. 323(2):1001–1006, 2006) and extend the polynomial contraction framework of Jleli et al. (Demonstr. Math. 58(1):20250098, 2025) to best proximity point theory, and suitable examples are provided to illustrate and validate the main findings.</p>

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Best proximity point results for polynomial type contractions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月29日

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  • Geno Kadwin Jacob,
  • V. Pragadeeswarar,
  • Manuel De La Sen

摘要

We introduce polynomial-type contractions for cyclic and non-self mappings in the setting of metric spaces and establish the existence of best proximity points for such mappings. Our results generalize the cyclic contraction results of Eldred and Veeramani (J. Math. Anal. Appl. 323(2):1001–1006, 2006) and extend the polynomial contraction framework of Jleli et al. (Demonstr. Math. 58(1):20250098, 2025) to best proximity point theory, and suitable examples are provided to illustrate and validate the main findings.