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Retracted: On Multivalued Fuzzy Contractions in Extended b-Metric Spaces
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A course in mathematical analysis /
Published 2013Subjects: “…Metric spaces. 9797…”
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Retracted: Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application
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Retracted: Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
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On the topology of D-metric spaces and generation of D-metric spaces from metric spaces
Published 2004-01-01Get full text
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Fixed point theorems in metric spaces and probabilistic metric spaces
Published 1996-01-01Get full text
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Emergence of Self-Identity in Artificial Intelligence: A Mathematical Framework and Empirical Study with Generative Large Language Models
Published 2025-01-01“…Our framework posits that self-identity emerges from two mathematically quantifiable conditions: the existence of a connected continuum of memories <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mo>⊆</mo><mi mathvariant="script">M</mi></mrow></semantics></math></inline-formula> in a metric space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">M</mi><mo>,</mo><msub><mi>d</mi><mi mathvariant="script">M</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula>, and a continuous mapping <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>I</mi><mo>:</mo><mi mathvariant="script">M</mi><mo>→</mo><mi mathvariant="script">S</mi></mrow></semantics></math></inline-formula> that maintains consistent self-recognition across this continuum, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">S</mi><mo>,</mo><msub><mi>d</mi><mi mathvariant="script">S</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula> represents the metric space of possible self-identities. …”
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces
Published 2013-01-01Get full text
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A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE
Published 2024-11-01Get full text
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On Metrization of the Topologies Induced by Fuzzy Metrics
Published 2020-01-01Get full text
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