This article introduces fixed point theorems for various contraction mappings in n-Banach spaces, suggesting new frameworks for understanding these mathematical structures.
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.
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Jawad Ettayb (2026) studied this question.
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