International Journal of Nonlinear Analysis and Applications

Mazur-Ulam theorem in intuitionistic fuzzy normed spaces

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran

2 Javanroud Faculty of Management and Accounting, Razi University, Kermanshah, Iran

Abstract

 In this paper,  introducing the notion of intuitionistic strictly convex sets, and using functions that preserve equality of intuitionistic fuzzy distance, a new generalization of Mazur-Ulam theorem in intuitionistic fuzzy normed spaces is presented. Moreover, intuitionistic fuzzy isometries, segment-preserving functions, and norm-additive maps are used to study the prerequisites needed to prove the main theorem.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 13 April 2025
  • Receive Date: 12 May 2024
  • Revise Date: 05 August 2024
  • Accept Date: 04 September 2024