A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES

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ALACA C.

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ISSN: 2588-4824

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Journal: Iranian Journal of Fuzzy Systems Year:2010 | Volume:7 | Issue:2 Page(s): 109-119

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Title

A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES

Author(s)

ALACA C. | Issue Writer Certificate

Keywords

N-2-NORRN

2-FUZZY 2-NORMED LINEAR SPACES

2-ISOMETRY

2-LIPSCHITZ MAPPING

Abstract

In this paper, we introduce the concepts of 2-ISOMETRY, collinearity, 2-Lipschitzmapping in 2-FUZZY 2-NORMED LINEAR SPACES. Also, we give a new generalization of the Mazur- Ulamtheorem when X is a 2-fuzzy 2-normed linear space or Á(X) is a fuzzy 2-normed linear space, that is, the Mazur-Ulam theorem holds, when the 2-ISOMETRY mapped to a 2-fuzzy 2-normedlinear space is affine.

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APA: Copy

ALACA, C.. (2010). A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 7(2), 109-119. SID. https://sid.ir/paper/563264/en

Vancouver: Copy

ALACA C.. A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2010;7(2):109-119. Available from: https://sid.ir/paper/563264/en

IEEE: Copy

C. ALACA, “A NEW PERSPECTIVE TO THE MAZUR-ULAM PROBLEM IN 2-FUZZY 2-NORMED LINEAR SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 7, no. 2, pp. 109–119, 2010, [Online]. Available: https://sid.ir/paper/563264/en

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