Limiting subdifferentials of perturbed distance functions in Banach spaces

Abstract: We explore in arbitrary Banach spaces the Fréchet type -subdifferentials and the limiting subdifferentials for the perturbed distance function determined by a closed subset and a lower semicontinuous function defined on . In particular, upper and lower estimates for the Fréchet type -subdifferentials and for the limiting subdifferentials are provided in terms of the corresponding subdifferentials of the sum of the associated functions and . [Copyright &y& Elsevier]