On modulus of noncompact convexity for a strictly minimalizable measure   of noncompactness
  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 $[0,\varPhi(\bar{B}_X))$. 
Amra Rekic-Vukovic, Nermin Okicic, Ivan Arandjelovic
math.FA