My LM386 rail splitter. Stabilization network (or capacitor with ESR) required for good phase margin. Better Response with C3 = 5 uF.
View attachment 195262
Alternative rail splitter using OPA994 "unlimited capacitive load drive" OP:
View attachment 195261
Older LM8261 has lower output impedance, but also less phase margin and 5 V minimal supply voltage.
However, we got no requirements from original poster yet (e.g. static and dynamic load, expected stability).