embedded fmincon problem to find mini max ?

I want to find the minimum in x of maximum in t of myfun function, can I use this type of resolution ?

 myfun = @(x,t) sum ((x(1:n)+t(1:n))./(x(1:n)*t(1:n)));
fmincon (-fmincon(-myfun,t0,[],[],[],[],zeros(n,1),ones(n,1)),x0,[],[],  [],[],lb,ub,@nonlcon,options);

 error
 Caused by:
    Failure in initial user-supplied objective function evaluation. FMINCON cannot continue.

Thanks.