Another look at the continuity of moduli of noncompact convexity

Amra Reki\' c-Vukovi\' c; Nermin Okičić

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arXiv · 2111.12407

Another look at the continuity of moduli of noncompact convexity

Amra Reki\' c-Vukovi\' c·Nermin Okičić

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Abstract

In this article we introduce the new modulus $\triangle'_{X,\phi}(\varepsilon)$, for which we prove that in the general case is different from the classical modulus of noncompact convexity. The main result of the paper is showing the continuity of the modulus of noncompact convexity for arbitrary minimalizable (strictly minimalizable) measure of noncompactness on arbitrary metric space.

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BibTeX RIS

Amra Reki\' c-Vukovi\' c, Nermin Okičić. 2021-11-24. Another look at the continuity of moduli of noncompact convexity. https://arxiv.org/abs/2111.12407

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