Introduces a generalized norm and investigates its properties in linear spaces, suggesting new structures for analysis.
In this paper, we choose an approach to generalize the idea of usual norm keeping up analogous structure and introduce a generalized norm, called Φ-norm using a function Φ which satisfies some special condition. We show that the induced metric of it is φ-metric. We also study some basic properties and obtain some fundamental results in such spaces.
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Das et al. (2025) studied this question.
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