Terminating an apply-based function early (similar to break?)

I am searching for a way to terminate an apply function early on some condition. Using a for loop, something like:

FDP_HCFA = function(FaultMatrix, TestCosts, GenerateNeighbors, RandomSeed) {    
  set.seed(RandomSeed)

  ## number of tests, mind the summary column
  nT = ncol(FaultMatrix) - 1
  StartingSequence = sample(1:nT)
  BestAPFD = APFD_C(StartingSequence, FaultMatrix, TestCosts)
  BestPrioritization = StartingSequence
  MakingProgress = TRUE
  NumberOfIterations = 0
  while(MakingProgress) {
    BestPrioritizationBefore = BestPrioritization
    AllCurrentNeighbors = GenerateNeighbors(BestPrioritization)

    for(CurrentNeighbor in AllCurrentNeighbors) {
      CurrentAPFD = APFD_C(CurrentNeighbor, FaultMatrix, TestCosts)

      if(CurrentAPFD > BestAPFD) {
        BestAPFD = CurrentAPFD
        BestPrioritization = CurrentNeighbor            
        break
      }
    }

    if(length(union(list(BestPrioritizationBefore),
                    list(BestPrioritization))) == 1)
      MakingProgress = FALSE

    NumberOfIterations = NumberOfIterations + 1
  }
}

I would like to rewrite this function using some derivation of apply. In particular, terminating the evaluation of the first individual with increased fitness, thereby avoiding the cost of considering the rest of the population.