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<p>We introduce the concept of rectangular <i>b</i>-suprametric spaces, in which we prove fixed point theorems of Banach, Kannan, Reich and Chatterjea types. We also provide an error estimate of the distance between the fixed point and the terms of its approximate sequence. Moreover, we present simple proofs of some existing theorems in rectangular <i>b</i>-metric and <i>b</i>-suprametric spaces. Further, we derive the Jungck’s common fixed point theorem. Our results generalize and improve several results from fixed point theory.</p>

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Fixed point theorems in rectangular b-suprametric spaces

  • 期刊论文

  • 发表日期：

    2026年1月8日

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  • Maher Berzig,
  • Zoran D. Mitrović

摘要

We introduce the concept of rectangular b-suprametric spaces, in which we prove fixed point theorems of Banach, Kannan, Reich and Chatterjea types. We also provide an error estimate of the distance between the fixed point and the terms of its approximate sequence. Moreover, we present simple proofs of some existing theorems in rectangular b-metric and b-suprametric spaces. Further, we derive the Jungck’s common fixed point theorem. Our results generalize and improve several results from fixed point theory.