From yesterday, I continued to search a solution ... and my problem is now solved

Here is my solution, maybe someone can use it ...
The solution consist to modify the following :
In LiquiCrystal_I2C.cpporiginated code (for the Arduino 1.0 release) :
...
// write either command or data
void LiquidCrystal_I2C::send(uint8_t value, uint8_t mode) {
uint8_t highnib=value>>4;
uint8_t lownib=value & 0x0F;
write4bits((highnib)|mode);
write4bits((lownib)|mode);
...
Changed to :
...
// write either command or data
void LiquidCrystal_I2C::send(uint8_t value, uint8_t mode) {
uint8_t highnib=value&0xf0;
uint8_t lownib=(value<<4)&0xf0;
write4bits((highnib)|mode);
write4bits((lownib)|mode);
...
and in the
LiquiCrystal_I2C.h :
...
// flags for backlight control
#define LCD_BACKLIGHT
0x00#define LCD_NOBACKLIGHT
0x80...
Changed to
...
// flags for backlight control
#define LCD_BACKLIGHT
0x08#define LCD_NOBACKLIGHT
0x00...
Now my LCD 1602 I2C module works very well !!
