Three weeks of suffering !. I finally solved the problem of process.google.process.gapps cursed. The problem was not finding the solution but to discover the meaning to the process.
The process.google.process.gapps is the manager of all Android applications, this is the key point of the problem and that in any forum is clearly mentioned.
Walking through dozens of forums on the Internet, including Google officers, one finds many solutions as simple as disable and enable the download process, clear the cache of some or all applications, data restore applications and so on.
Then one finds solutions specific to an application, then we see solutions to the calendar, downloads, the Play Store, and so on.
What is the truth behind all this ?.
The truth is that no solution is correct but also all the solutions are correct.
Because process.google.process.gapps when running an application or a process falls, NOT respond, sleeping in their task, the memory becomes full, and a long list of problems that can happen to an application or process in particular.
So how can I fix it?
The solution is very simple, you have to find what the APP or process that is hanging, sleeping, or dropped.
And that's where the solutions are read in all forums are valid or not.
It is correct to think that a suspended or repeatedly failed download can collapse the process.google.process.gapps.
It is also true that may have become trash in a cache.
It is correct to think that an update may have errors.
In my case it was the contacts, I have over 1000 contacts. In my despair I noticed that the synchronization of contacts not quite done, but seeing the contacts on my phone, I saw that everyone was. What was the reason ?.
I discovered that many contacts had strange characters in any data, emails with @ in their names, accents, quote or just appeared with empty names or other data.
What I did was export my contacts to Google format CVS, I opened the file with Libre Office (can use OpenOffice, Synphony or MSOffice) and spent a lot of time debugging the file.
Then I removed my phone contacts and my Gmail account.
Finally I imported the contacts synced.
Problem solved !.