Hi researchers;

How can I dementrate that a non-linear minimization Multi-objective problem is equivalent to its transformation to a Single-objective problem using the weighting method.

Assuming that .

P = Min (T(x), H(x))'

s.c

x \ in S

and

Peq = Min w1T(x) + w2H(x)

s.c

x \ in S

T and H are nonlinear convex functions and the set S is a convex domain

How can I dementrate that P is equivalent to Peq

Thanks in advance