To maintain the Bitcoin network, the price of Bitcoin must keep rising infinitely, which is impossible.
Price of everything else is constrantly rising, so why not bitcoin as well? 
Could there be a point where the value of the Bitcoin miners receive is almost zero, and the Bitcoin network collapses due to a lack of miners?
Its possible, but we are more than 100 years away from miners getting barely anything from mining so I wouldn;t worry much about that if I were you. And even then, fee they get from transaction might compensate for fewer amount of bitcoin they gonna get as a mining reward. Is it possible that Bitcoin could increase its total supply in the future? But that would certainly cause Bitcoin’s price to drop significantly.
Possible yes, probable no. At least not in the near future. Could Bitcoin switch to PoS like Ethereum? That would also cause Bitcoin’s price to fall.
That's the last thing that you should worry about.