  We consider a parameter identification problem related to a quasi-linear
elliptic Neumann boundary value problem involving a parameter function
$a(\cdot)$ and the solution $u(\cdot)$, where the problem is to identify
$a(\cdot)$ on an interval $I:= g(\Gamma)$ from the knowledge of the solution
$u(\cdot)$ as $g$ on $\Gamma$, where $\Gamma$ is a given curve on the boundary
of the domain $\Omega \subseteq \mathbb{R}^3$ of the problem and $g$ is a
continuous function. For obtaining stable approximate solutions, we consider
new regularization method which gives error estimates similar to, and in
certain cases better than, the classical Tikhonov regularization considered in
the literature in recent past.
