Is 'constructor LocationRequest()' deprecated in google maps v2?

Yes, the LocationRequest constructor is deprecated. You can use its static method LocationRequest.create() to create a location request.

Kotlin:

locationRequest = LocationRequest.create().apply {
    interval = 100
    fastestInterval = 50
    priority = LocationRequest.PRIORITY_HIGH_ACCURACY
    maxWaitTime = 100
}

Java:

locationRequest = LocationRequest.create()
    .setInterval(100)
    .setFastestInterval(3000) 
    .setPriority(LocationRequest.PRIORITY_HIGH_ACCURACY)
    .setMaxWaitTime(100);

Update

As @Shimon pointed out LocationRequest.PRIORITY_HIGH_ACCURACY is now deprecated, so instead use Priority.PRIORITY_HIGH_ACCURACY

LocationRequest.create().apply{ ... } is now also deprecated.

Please use LocationRequest.Builder() instead. I.E. like this:

(locationInterval, locationFastestInterval and locationMaxWaitTime corresponds to the values used before when using create())

        locationRequest = LocationRequest.Builder(Priority.PRIORITY_HIGH_ACCURACY, locationInterval)
            .setWaitForAccurateLocation(false)
            .setMinUpdateIntervalMillis(locationFastestInterval)
            .setMaxUpdateDelayMillis(locationMaxWaitTime)
            .build()

Please read more here: https://developer.android.com/reference/android/location/LocationRequest.Builder

and here: https://developers.google.com/android/reference/com/google/android/gms/location/LocationRequest.Builder

This line now deprecated: priority = LocationRequest.PRIORITY_HIGH_ACCURACY

replace with priority = Priority.PRIORITY_HIGH_ACCURACY