Hi, according to me SLSQP impements the SQP method that is dedicated to the solution of nonlinear programming problems. If your problem is linear (onjective function and contraints are linear) you should better use a standard simplex method.

Hi, it depends on your problem. its not the only algorithm that we can use for non linear problems. 

Give us some details about your problem !! 

send me your objective function to minimise with the constraints in order to try to solve it if you want

you can use scipy.optimize.minimize function with method='SLSQP'.