In some fanfiction, Spider - Man copes by training his body to be stronger and more agile without his powers. He focuses on martial arts and other forms of combat training. He also tries to use his wits in different ways. For example, instead of using his webs to stop a villain directly, he sets up traps and uses his environment to his advantage. He might also have to deal with the emotional side of things. He could become depressed at first, but then he uses that as motivation to fight back and regain his powers.
He might first go into denial. He could keep trying to do the things he used to do with his powers, like swing from building to building, only to fall. Then he could start to rely on his intelligence more. Since Peter Parker is a smart guy, he'd use his scientific knowledge to try to find a way to get his powers back. He may also look for allies who can help him, like other superheroes or scientists.
One reason could be a powerful magic spell cast on him by a villain. For example, a sorcerer who wants to stop Spider - Man from interfering in his evil plans might use a spell that disrupts the source of his powers. Another possibility is that he gets exposed to some sort of radiation or chemical that nullifies the mutation that gives him his powers. Maybe he enters a new dimension where the laws of physics are different and his powers don't work there.
Well, Spider Man often uses his powers in creative ways during his interactions. His agility allows him to easily navigate through a busy city street full of people without bumping into anyone. If there's a local fair, he can use his web to create a fun little ride for the kids, like a makeshift swing. His ability to climb walls can be useful when he's helping a window cleaner who's stuck on a high - rise building. He climbs up, rescues the cleaner, and then gives him some tips on safety. He also uses his powers to show off a bit sometimes, which always amazes the citizens and makes them cheer for him.
Maybe the character undergoes a transformation and discovers new skills to compensate for the loss. Or, he could face internal struggles and self-doubt before finding a way to move forward.
At first, Percy would probably be angry and frustrated. Losing an eye is a huge deal. But he's also a determined person. He would start to practice with his remaining senses more intensively. He'd learn to listen more carefully for approaching enemies, feel the vibrations in the ground or water more acutely. He might also seek out some magical or medical help within the demigod world. There could be potions or spells that might help him either regain some vision or enhance his other senses to make up for the loss.
He might have used magic prosthetics. With the help of his friends like Hermione, who is brilliant at magic research, they could have found a way to create a magical arm that functions almost like a real one.
Spider-Man got his powers after being bitten by a radioactive spider. This gave him enhanced strength, agility, the ability to climb walls, and a 'spider sense'.
Peter Parker might cope with trauma by using his sense of humor. It's something he's always done, even in the face of danger. In the aftermath of Infinity War, when things are really tough, he could use his jokes as a defense mechanism. It helps him keep his spirits up and also makes those around him feel a bit better.
If Spider - Man had mutant powers in fanfiction, his origin story might be different. Instead of being bitten by a radioactive spider, he could be born with his powers. This would change his relationship with the scientific community. For example, he might not be as interested in science as the original Spider - Man. His powers could also be more uncontrollable at first, leading to different challenges in learning to use them.
His powers might be affected in different ways. For example, his web - shooting ability could be less precise. Since he's a baby, he doesn't have the same muscle control and coordination as his adult self. So, the webs might come out in a more random direction.
Perhaps Spider - Man stumbles upon a hidden cache of vibranium. It could be in an old, forgotten laboratory or a secret vault. He then takes the vibranium and with his own knowledge of suit - making and some help from his friends in the science community, he constructs the vibranium suit.