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    Advances in rough ideal convergence within L-fuzzy normed spaces
    (University of Nis, 2026) Hossain, Nesar; Tripathy, Binod Chandra; Esi, Ayhan
    This study introduces and develops the concept of rough ideal convergence for sequences in L-fuzzy normed spaces. Within this framework, it defines the notion of the rough I-limit set and investigates its topological and geometrical properties. The concept of I-boundedness for sequences is also introduced, and its relationship with the rough I-limit set is thoroughly examined. Furthermore, the study defines the rough I-cluster point of a sequence and derives several notable results concerning closed balls and their connection to the rough I-limit set in the context of L-fuzzy normed spaces. © 2026, University of Nis. All rights reserved.
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    DEFERRED STATISTICAL CONVERGENCE IN NEUTROSOPHIC 2–NORMED SPACES
    (Ele-Math, 2024) Hossain, Nesar; Esi, Ayhan
    In this research paper, we present a circumstantial investigation of deferred statistical convergence and prove some fundamental results within the framework of a neutrosophic 2normed space. Furthermore, we define and provide a comprehensive exploration of deferred statistical Cauchy sequence and establish that every neutrosophic 2-normed space is deferred statistically complete within this specific framework. © D l,Zagreb Paper JCA-25-03.
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    DEFERRED STATISTICAL CONVERGENCE IN NEUTROSOPHIC 2–NORMED SPACES [2]
    (Ele-Math, 2025) Hossain, Nesar; Esi, Ayhan
    In this research paper, we present a circumstantial investigation of deferred statistical convergence and prove some fundamental results within the framework of a neutrosophic 2-normed space. Furthermore, we define and provide a comprehensive exploration of deferred statistical Cauchy sequence and establish that every neutrosophic 2-normed space is deferred statistically complete within this specific framework. © EEMEN, Zagreb.
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    IDEAL CONVERGENCE IN NEUTROSOPHIC n-NORMED LINEAR SPACES
    (Palestine Polytechnic University, 2025) Hossain, Nesar; Esi, Ayhan
    In this research paper, we present a thorough exploration of I-convergence and I-Cauchy sequence in neutrosophic n-normed linear spaces. Furthermore, we prove some interest-ing results associated with this notion. Additionally, we define the concept of I∗-convergence and I∗-Cauchy sequence and establish the connection between these notions within this specific framework. © Palestine Polytechnic University-PPU 2025.
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    Statistical Convergence for Uncertain Triple Sequences of Fuzzy Numbers
    (Soc Paranaense Matematica, 2026) Hossain, Nesar; Esi, Ayhan; Subramanian, Nagarajan
    This paper introduces the notion of statistical convergence for uncertain triple sequences of fuzzy numbers. We examine several associated types of convergence, including convergence in measure, in mean, in almost surely, and uniformly almost surely. Moreover, illustrative examples were provided to clarify the relationships and distinctions among these different types of convergence.
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    Unveiling Cesaro summability under neutrosophic 2-norms
    (Soc Paranaense Matematica, 2025) Hossain, Nesar; Tripathy, Binod Chandra; Esi, Ayhan
    This paper introduces the concepts of Cesaro summability within the framework of neutrosophic 2-normed spaces (N2-NS). We establish that Cesaro summability does not necessarily imply ordinary convergence with regard to neutrosophic 2-norm, providing a concrete example to illustrate this distinction. In this connection, we prove necessary and sufficient condition for the sequences in N2-NS that their Cesaro summability guarantees ordinary convergence.