More important than people liking one another is that they should respect one another. To gain the respect of others, you have to respect them. So show your subordinates that disagreement is no problem and that you can respect different opinions.
Conflicts at work are mostly not personal; they arise from different views on processes or goals. So focus on the project, team and company. Look for the best solution for everyone involved, not just for you personally.
Many people avoid conflicts because they don't want to hurt others' feelings. When confronted, however, they are usually surprised to find that others want to hear feedback and are open to different opinions. Your fear is in most cases unnecessary.
You probably have someone around you who can express opinions directly and without feeling uncomfortable. Take this person as a role model. When you get into a conflict situation, try to look at yourself from outside and imagine what your role model would do.
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Article source Harvard Business Review - flagship magazine of Harvard Business School