Remove the following line of code
[savedString writeToFile:documentTXTPath atomically:YES];
And remaining code are all fine. Anyway check my code also,
NSArray *paths = NSSearchPathForDirectoriesInDomains(NSDocumentDirectory,NSUserDomainMask, YES);
NSString *documentsDirectory = [paths objectAtIndex:0];
NSString *documentTXTPath = [documentsDirectory stringByAppendingPathComponent:@"Notes.txt"];
NSString *savedString = textview.text;
NSFileHandle *myHandle = [NSFileHandle fileHandleForWritingAtPath:documentTXTPath];
[myHandle seekToEndOfFile];
[myHandle writeData:[savedString dataUsingEncoding:NSUTF8StringEncoding]];