Minimize (a+x)^u

a constant

x, u variables

I forgot to write

1<= u<= 2

X>0

Also, i simplified my cost function, if it is necessary I can write it again

Thanks

`x^u`

where x and u are both optimization variables is neither convex not concave; so can;'t be used in CVX.

Thanks for your kind reply.

Is it possible to use ADMM Algorithm? It can use for both convex and nonconvex

That really doesnâ€™t have anything to do with CVX, so is best discussed elsewhere.