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<p>We introduce the concept of asymmetric regularity in quasi-metric spaces and investigate left d-orbital regularity and left d-orbital pseudo-Lipschitz mappings. By employing subadditive functions, we establish several fixed point results for set-valued mapping without imposing closedness assumption. Furthermore, we extend the notion of asymmetric regularity to product spaces and derive new fixed point results in this setting, by narrowing the sets to which fixed points belong. Several illustrative examples are provided to support the theory.</p>

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Asymmetric regularity in quasi-metric spaces with application to fixed point of set valued maps

  • 期刊论文

  • 发表日期：

    2025年12月15日

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  • Irem Eroğlu,
  • Ismat Beg

摘要

We introduce the concept of asymmetric regularity in quasi-metric spaces and investigate left d-orbital regularity and left d-orbital pseudo-Lipschitz mappings. By employing subadditive functions, we establish several fixed point results for set-valued mapping without imposing closedness assumption. Furthermore, we extend the notion of asymmetric regularity to product spaces and derive new fixed point results in this setting, by narrowing the sets to which fixed points belong. Several illustrative examples are provided to support the theory.