i said in #08 postWhat is the use to providing 5V to all inputs? A simple divider can get 5V from the 12V rail. No, not good practices
The maximum loads required for each regulator:
1- +5v for three voltage divider there inputs are in lm324n both (inverting and no-inverting), 2 leds
2- +12v is for lm324n as comparator and amplifier, relay (400 ohm)
I don’t think that I have big loads!?
please i don't have a problem with my design or at least now !!Your design makes no sense.
please I will appreciate your help if you can answer only this question
Can I do not add the caps after the 5v chip and in the same time i keep the good regulation given by 12v chip and his caps

No, he didn't.You just proved you have absolutely no need for a 5V voltage regulator
You don't know that. The variable voltages could be coming from5 V-only sensors or circuits.The variable voltage can be as easily be supplied by the 12V.
After post #8, there are no mysteries. He already has determined the correct regulators for his job. That never was his question. His original question was about running the regulators in series or parallel, and after post #8 I think there is an advantage to series.There is too much mysteries around the circuit to really know what amount of regulation is needed.
Sounds like good inventory management to me.He wants to use 12V because he has 12V relays and 5V because he has 5V regulators.
I truly do not understand your focus on irrelevant details. Of course it always is better to have more information when answering a stranger's question. But "top-secret" - ? No. Magic - ? No. There are external circuits that he already has determined will do what he wants with a 5 V supply. Nothing about that is "magic", and your characterization as such gives him way more information about you than you have given him about his question.You know best! Top-secret system with magic circuits no one know where they come from are seldom easy to guess.