I work with fish, and the subject has been studied a lot in food fish (i.e., determining conditions for optimal growth). It's well known that the metabolic rate of fishes is dependent on water temperature, because they're poikilothermic (cold-blooded). Every fish has it's "optimal" temperature range, and the highest temperature at which it will grow optimally without causing adverse effects to the body systems. For example, tilapia (which are cichlids) have an optimal temp of 84-86 degrees.
There is a negative side to placing a fish in a constantly warm temperature to get the quickest growth: it shortens their lifespan. They reach maturity more quickly and therefore age more quickly and die more quickly. This isn't a problem for food fish because they're harvested and eaten once they reach market size. But it could take years off the lives of your pet fish. I used to want optimal growth in my pet cichlids and grew them out at a constant temperature in the low to mid 80s. I'm not going to ever do this again, because I didn't realize I was shortening their lifespans.