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ANSWER: Yes, absolutely this will not be an issue for travel. It would be a problem if any of the names were different. But the vast majority of travelers don't even use middle names or initials and they can still travel. This is more than most people use. As long as the initial matches the actual name, this will be no problem at all.
Kindly remember to give me a positive rating before leaving this site today. I do not get a salary here, so your positive rating is the only way I am rewarded for doing my job. If that does not happen, it is as if I never worked, which I am sure you agree would not be an ideal outcome. So please do not forget to give me 3 or more stars, or any smiling faces, in order to help me get credit for doing my job.