10.30495/maca.2025.2068954.1146

Fixed point theorems of some mappings via interpolation in 2-Banach spaces

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  • Jawad Ettayb*1,
  1. Independent Researcher, Had Soualem, Morocco

Published in Issue 2025-11-10

How to Cite

Fixed point theorems of some mappings via interpolation in 2-Banach spaces. (2025). Mathematical Analysis and Its Contemporary Applications, 7(4). https://doi.org/10.30495/maca.2025.2068954.1146

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Abstract

In this article, we introduce weak contractive mappings and interpolative Kannan-type contraction mappings on a 2-Banach space. In particular, we discuss the existence and uniqueness of a fixed point of such mappings in a 2-Banach space. However, we define interpolative Reich-Rus-Ćirić type contraction mappings and interpolative Hardy-Rogers type contraction mappings, Kannan-Ćirić type contraction mappings and interpolative Kannan-Meir-Keeler type contractions on a 2-Banach space. In particular, we prove the existence of a fixed point of such mappings in a 2-Banach space.

Keywords

  • Fixed point theorems,
  • 2-Banach spaces,
  • closed and bounded sets
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References

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