What is a problem? A problem is a negative situation without an optimal solution.
In any situation, the two things we can change are (a) our appraisal of the situation and (b) our action plan based on that appraisal.
There are infinite appraisals, and therefore infinite action plans.
The action plans must be rankable by the success of the outcome.
There is therefore an infinitely optimal action plan for every situation.
Since a problem is a negative situation without an optimal solution ...
... no problems exist.
What if a particular action plan is unfindable, unfeasible, or unsuccessful?
Then it's not the optimal one. Something else is.
There is no other reasonable position than hope.