Browsing by Author "Jakhar, Jagjeet"

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    Ulam stability results of functional equations in modular spaces and 2-banach spaces
    (Mathematics, 2023) Tamilvanan, Kandhasamy; Alkhaldi, Ali H.; Jakhar, Jyotsana; Chugh, Renu; Jakhar, Jagjeet; Rassias, John, Michael
    In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the D2-condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach space using the direct method. Additionally, using a suitable counterexample, we eventually demonstrate that the stability of these equations fails in a certain case.
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    Weakened Gallai–Ramsey number for various graphs of order up to six
    (2026) Jakhar, Jagjeet
    Gallai–Ramsey theory examines how edge colorings of complete graphs avoiding rain bow triangles inevitably yield monochromatic subgraphs. In this work, we generalize this framework by introducing the weakened Gallai–Ramsey number grs t(G), defined as the smallest integer p such that every Gallai t-coloring of Kp contains a copy of G using at most s