Using nonlinear optimization techniques in fractal image compression. Fractal image compression generally seeks to express an image as a union of spatially contracted and greyscale modified copies of subsets of itself. Most practical as well as theoretical works in image processing and...

In this paper some new contractive operators on C([a, b]) of IFS type arebuilt. Inverse problems are introduced and studied by convex optimizationproblems. A stability result and some optimality conditions are given.

In this paper we recall inverse problems for iterated function systems and how these problems can be reduced to optimizations problems. We extend these results to IFS operators with dependent probabilities.

In this paper, we study some IFS Markov operators on set-valued measures (multimeasures). For this, we consider countable additivity with respect to the Minkowski sum of compact and convex sets and countable additivity with respect to (the Hausdorff closure of) unions of compact sets. After...