First off, let's define the terrain of "space".
There is Interplanetary space, which is <99.9999999% of the solar system. To approach anyone else in this region in such a way as to remain nearby for a significant amount of time would require absurd quantities of reaction mass, because you would essentially need to fly to where they are now, then come to a stop, then reverse course until you are on the same trajectory as they are. Not at all practical if you want to participate in any kind of "battle". Unless, of course, you were departing from the same place and time as your enemy was, in which case, why wait until you're in deep space to attack them?
Therefore, the only interplanetary space combat that is likely is very-long-range high-velocity bombardment from planetside facilities; that is, you build missiles which accelerate, strike the incoming ships, and don't even worry about deceleration at the target.
Fleets approaching a target would no doubt be aware of this potential, and thus would have active defenses against incoming missiles, such as "flak bubbles", a cloud of fine debris that detonates or deflects incoming missiles, or point-defense lasers such as the problematic "star wars" system we've already attempted, just without the problems of atmospheric diffraction.
All in all, there might be a several-month-long period of missiles deflecting missiles over very long ranges. Perhaps there would be absolutely no fleet movement until one sides' missile systems were disabled by stealth actions- as how we currently do not bring in our air power until we have destroyed enemy anti-air systems.
However, this all assumes warfare in the Interplanetary zone. Space is far more complex than that. Once you approach a planet of any size, and let's consider the earth as a default for this, space stratifies into various orbits with specific delta-v requirements to move from one to the other. You could easily get into and hold a position relative to an enemy and engage in complex tactics to force them to expend delta-v so that a later attack strikes them low on fuel, or position yourself so that incoming fire might risk hitting a useful satellite. The complexities of orbital navigation are quite diverse and are most likely where tacticians are going to be making real innovations in space.