Fixed point results for self-mappings in $2$-normed spaces

Subject Areas : Operator theory

J. Das ¹ , A. Das ²

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Received: 2025-05-23 Accepted : 2025-07-16 Published : 2025-07-17

Keywords: 2-normed spaces, fixed point, 2-Banach spaces, contraction mappings, nonexpansive mappings.,

Abstract :

This paper presents an extension and generalization of key results in fixed point theory by formulating common fixed point theorems for various forms of self-mappings within closed subsets of linear 2-Banach spaces. The analysis addresses the existence and uniqueness of common fixed points in several settings, including individual mappings, pairs of mappings, their positive powers, and sequences of self-mappings.

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