10.57647/cna.bcr2-d739.6

Fixed point theorems of some mappings in n-Banach spaces

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

Received: 2024-12-30

Accepted: 2025-01-22

Published in Issue 2025-06-30

Copyright (c) 2025 Jawad Ettayb (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Fixed point theorems of some mappings in n-Banach spaces. (2025). Communications in Nonlinear Analysis, 13(1). https://doi.org/10.57647/cna.bcr2-d739.6

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Abstract

In the present article, we introduce Meir-Keeler contraction mappings and C´ iric´ contraction mappings on n-Banach spaces. In particular, we discuss the existence and uniqueness of a fixed point of such mappings in an n-Banach space. On the other hand, we introduce Hardy-Rogers contraction mappings on an n-Banach space. In particular, we prove the existence and uniqueness of a fixed point of such a mapping in an n-Banach space. However, several results are demonstrated on fixed point theorems of some mappings in a nonempty, closed and bounded subset with respect to n linearly independent vectors of an n-Banach space.

Keywords

  • Fixed point theorems,
  • n-Banach spaces,
  • Closed and bounded sets
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