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arxiv: 1606.01071 · v1 · pith:TBW3GSFSnew · submitted 2016-06-03 · 🧮 math.FA

On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness

classification 🧮 math.FA
keywords varphiconvexitymeasureminimalizablemodulusnoncompactnoncompactnessstrictly
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In this paper we consider modulus of noncompact convexity $\Delta_{X,\varPhi}$ associated with the strictly minimalizable measure of noncompactness $\varPhi$. We also give some its properties and show its continuity on the interval $[0,\varPhi(\bar{B}_X))$.

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