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International Journal for Research Trends and Innovation
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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Issue: February 2026
Volume 11 | Issue 2
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Impact Factor : 8.14
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| Paper Title: | Fixed Point Extensions in Generalized Fuzzy Metric Spaces with Fuzzy Logic Controller Applications |
| Authors Name: | NAMRATA TRIPATHI |
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| Author Reg. ID: |
IJRTI_208864
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| Published Paper Id: | IJRTI2601032 |
| Published In: | Volume 11 Issue 1, January-2026 |
| DOI: | |
| Abstract: | This paper presents new extensions of fixed point theorems in Generalized Fuzzy Metric Spaces (GFMS) with explicit integration of fuzzy logic principles and fuzzy logic controllers (FLCs). Fuzzy logic controllers operate through linguistic rules, fuzzy membership functions, and inference mechanisms that introduce uncertainty and approximate reasoning. To analyze the stability and convergence of such controllers, fixed point theory in GFMS provides a powerful mathematical framework. We develop fuzzy contraction conditions, derive fixed point results, and demonstrate how the output stabilization of an FLC can be interpreted as achieving a fixed point in a generalized fuzzy metric environment. Applications to control systems, intelligent appliances, and nonlinear fuzzy dynamic models are discussed. |
| Keywords: | Contraction, Non linear contraction, Fuzzy, Fuzzy Logic, Controllers. |
| Cite Article: | "Fixed Point Extensions in Generalized Fuzzy Metric Spaces with Fuzzy Logic Controller Applications", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2455-2631, Vol.11, Issue 1, page no.a249-a251, January-2026, Available :http://www.ijrti.org/papers/IJRTI2601032.pdf |
| Downloads: | 000114 |
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2601032
Registration ID:208864
Published In: Volume 11 Issue 1, January-2026
DOI (Digital Object Identifier):
Page No: a249-a251 Country: Bhopal, MADHYA PRADESH, India Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2601032 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2601032 |
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ISSN: 2456-3315
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