Depends on the relationship. If this person is dear to you? Then try to mend your differences or just move on . Kind of a vague question but it depends on what you see in this person. You may get mad at each other but things usually do work out in the end. Totally up to you on whether you want to salvage it or let it go. Really hard to answer not knowing all the facts.
The way I look at it is, if the other person matters to you, you make a sincere effort to try to mend things. If the other person responds in like things will work out, but sometimes are strained for a while. If the other person doesn't respond, walk away.
If you alone are expecting to fix it .. Then, yes.
A relationship that involves TWO people has to be fixed or repaired or healed (what ever you want to call it) by BOTH parties .. Not just one.
Sometimes, things like that can't be fixed .. but it doesn't necessarily mean it has to end. Sometimes the water under the bridge is not 'fixable' .. that's where there are two very important elements that come into play in a relationship .. Forgiveness and Compromise.
Sure, we all have challenges in our relationships .. no relationship is an exception. It can range from a love/romantic relationship, to family relationship to even just a friendship.
When something bad or negative happens .. this is where you have to ask yourself .. is this something we can learn from and move on .. or is simply an impasse.
Learn what you need to,
experience what you must.
Move on.
No. Never give up on a friendship that you value. Remember that all relationships are worth mending if you love and care about the person. All of us have issues that we will encounter in friendship. But a true friend will embrace those challenges