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August 25, 2025Annals of Mathematics and Computer Science0 citationsOpen Access

Generalized fixed point theorems in fuzzy normed linear space

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JDJayanta DasADAshoke Das

Key Points

  • Theorems reveal insights about self-mappings in fuzzy normed linear spaces, enhancing the understanding of fixed point theory.
  • Several new definitions and theorems were introduced, facilitating better comprehension of fuzzy structures and their interactions.
  • The research utilized illustrative examples to validate the proposed theorems, making the concepts more accessible and practical.
  • The work expands existing fixed point theory, highlighting the importance of complete fuzzy normed linear spaces in mathematical analysis.

Abstract

This article presents a comprehensive study of fixed point theorems in the context of complete Fuzzy normed linear spaces. By extending and generalizing the framework of fixed point theory, we establish some theorems for three and four self-mappings that offer deeper insights into the interplay of fuzzy structures. Several definitions are introduced to facilitate the formulation and understanding of these theorems, along with illustrative examples to validate and demonstrate the applicability of the results.

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Cite This Study

Das et al. (2025) studied this question.

synapsesocial.com/papers/68af6216ad7bf08b1eae3812https://doi.org/10.56947/amcs.v29.546
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