oro1505:
I've tried your library and it appears to work no (At least we can communicate with the I2C, I can join some oscillogramme of the frame)
What does that mean? I do not understand.
I understand why 74 was the adresse , in fact the adress is on 7 bits so if you read it on 8bits it's 0x74 
Yes. I2C really uses 8 bits for the address, but the lower bit is used for read/write control and so most devices quote the address as a 7 bit address with the real 8 bit address shifted to the right.
I made a mistake in what I told you before. The default address in the hd44780_I2Clcd examples is 0x3e so in order for you to use them you will have to modify the i2c address to be 0x3a.
Now my probleme is apparently with the vlcd-vo pin and configuration , maybe can you help me a bit cause I still can't read anything on my LCD display ...
That display needs more than just the four i2c pins (voltage, gnd, SDA, SCL) to work.
You must hook up some external circuitry for the contrast circuit.
The display module I have is different but still requires an external pot to adjust the contrast.
For your display see pages 11 and 12 of the datasheet you provided.
If you look at pages 11 and 12, you see the signals VLCD and VO.
Typically VO is used as an input signal to control the contrast.
The pinout on page 12 calls pin VLCD as "Contrast Adjust" and pin VO as "Power for Contrast".
Those descriptions may be incorrect. But I'm not familiar with that LCD.
If you look at page 11, there are two diagrams.
In the left diagram the positive voltage being given to Vo is varying when the pot is turned.
In the right diagram the voltage given to VO is fixed while the negative voltage going to VLCD is varying.
I'm not familiar with this LCD but the PCF2116 datasheet shows an example contrast circuit like the left diagram. i.e. using a single power supply, which is easier to hook up and does not require a separate power supply.
I would recommend trying that as it is easy to hook up and only requires a pot and couple of caps.
You LCD module might already have the cap between VDD and ground.
oro1505:
Is there , in the library, somthing working like a PWM(a clearscreen or something) making the brightness down ?
And is there any posibilities to change the value of the voltage generator of the lcd "function set" in the i2c frame?
There is no way to control the backlight brightness from the I2C master.
I2C is used to transport hd44780 signals/messages which do not include any sort of backlight or contrast control.
So in terms of backlight brightness control, it can be done using current limiting resistors to set a fixed backlight brightness.
If your module only uses 6 pins as shown on page 12 of the datasheet, then it will require modifying the actual lcd module PCB to alter the current limiting resistor.
You would have to locate the current limiting resistor and replace it with a larger one.
This will likely be a surface mount part.
If that module has separate pins for the backlight anode and cathode then you can insert an additional current limiting resistor.
(my lcd module has 8 pins on the header and provides the two pins for the backlight anode and cathode)
If you have anode and cathode pins, the lcd module may or may not already have a current limiting resistor.
This is something that is critical to resolve since if it doesn't have one, and you hooked the the backlight directly to VCC, the backlight LEDs will be quickly burned out.
If it does have a built in current limiting resistor, the value may be a value to allow the maximum brightness which my be very bright but you can insert an additional led to reduce the current to reduce the brightness.
They don't give you all the needed information to calculate the minimum resistor but if you go by the last line in the table on page 13, of 90ma at 4.1v then you would get close to 60 ohms at 5v for a safe minimum value. (you could figure out the additional information to properly calculate it but it requires using the board and a volt meter)
But often times the maximum brightness is very bright. So you probably will want half or even a quarter of that so 150 to 200ohm would probably be good.
I'd be tempted to get some 100 ohm and 50 ohm resistors and try 100, 150, 200, 250, etc.. until you get a brightness you like.
I have some other 4x20 LCDS that use about 40ma for the backlight which is 1/10 of what this datasheet shows for the maximum brightness.
So you may need quite a bit of additional resistance to lower the brightness down to where you like.
--- bill