A New Survey of Measures of Noncompactness and Their Applications

We present a survey of the theory measures noncompactness and discuss some fixed point theorems Darbo’s type. apply technique to characterization classes compact operators between certain sequence spaces, in solving infinite systems integral equations spaces. also recent results related existence best proximity points (pairs) for cyclic noncyclic condensing Banach spaces equipped with suitable measure noncompactness. Finally, we an optimal solution integro–differentials.