10.30495/maca.2025.2063639.1140

Fixed point theorems for some mappings in 2-Banach spaces

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  • Jawad Ettayb1,
  1. C. H. School of Hauman El Fetouaki, Had Soualem, Morocco

Published in Issue 2025-08-28

How to Cite

Fixed point theorems for some mappings in 2-Banach spaces. (2025). Mathematical Analysis and Its Contemporary Applications, 7(3). https://doi.org/10.30495/maca.2025.2063639.1140

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Abstract

In the present study, we introduce the notions of Meir-Keeler contrac- tion mappings and Ćirić 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. On the other hand, we define the concept of Hardy-Rogers con- traction mappings on a 2-Banach space. In particular, we prove the existence and uniqueness of a fixed point of such a mapping in a 2-Banach space. However, many results are proved on fixed point theorems of some mappings in 2-Banach spaces.

Keywords

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

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