I worked a lot on defining the problem so I will be grateful to get input if i'm not clear enouth and I will fix the question. We have a grid made out of uniform points on $[x,y],$ $x,y\in[0,1],$ every 0.1 we have a point. At each point we have a function of variables $k_1$ and $k_2$ and the point $f(x,y,k_1,k_2)$ which give us the cost at the point and the value of the point. We run an optimization at each point of the grid and get a pareto front of cost and value. we are looking for the variables $k_1$ and $k_2$ at each point, we need that the cost will be monotnic, I mean if at $[0,0]$ the cost is $2$ and at $[1, 0]$ the cost is $3$ at $[2 ,0]$ the cost should be around $4$ and not around $2.$ we also need that $k_1$ and $k_2$ will be monotonic so if for $[0,0]$ $k_1=k_2=1$ and for[1,0] $k_1=k_2=2$ for $[2,0]$ we shouldn't get $k_1 = k_2 = 1.2.$ Is there a way to find these points on each pareto?
Thanks