  In this paper, we discuss the construction, analysis and implementation of a
novel iterative regularization scheme with general convex penalty term for
nonlinear inverse problems in Banach spaces based on the homotopy perturbation
technique, in an attempt to detect the special features of the sought solutions
such as sparsity or piecewise constant. By using tools from convex analysis in
Banach spaces, we provide a detailed convergence and stability results for the
presented algorithm. Numerical simulations for one-dimensional and
two-dimensional parameter identification problems are performed to validate
that our approach is competitive in terms of reducing the overall computational
time in comparison with the existing Landweber iteration with general convex
penalty.
