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October 11, 2025Journal of New Theory0 citationsOpen Access

Fixed Points of Multivalued Mappings on S-Metric Spaces

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HKHakan Karayılan

Key Points

  • The study confirms an extension of Bollenbacher and Hicks's fixed point theorem in S-metric spaces, enhancing understanding of multivalued mappings.
  • It demonstrates that fixed point theorems for single-valued mappings emerge as special cases from the newly introduced principal theorem.
  • The results open pathways for further exploration and applications in the field of fixed point theory and metric spaces.
  • Significant implications arise for advancing theoretical frameworks surrounding multivalued mappings and their properties in various contexts.

Abstract

In the present study, an extension of Bollenbacher and Hicks's fixed point theorem, which is a version of Caristi's fixed point theorem, is proved for the context of multivalued mappings in S-metric spaces. Several significant results are derived from this extension. Moreover, it has been shown that various fixed point theorems for single-valued mappings can be derived as special cases from the main theorem.

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Cite This Study

Hakan Karayılan (2025) studied this question.

synapsesocial.com/papers/68e9b1d0ba7d64b6fc132946https://doi.org/10.53570/jnt.1745667
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