An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery (Q1742910)

The authors introduce a new iterative process involving a finite family of multivalued nonexpansive mappings in CAT(0) spaces. Further, they prove some \(\Delta\)-convergence and strong convergence theorems for the introduced iterative process scheme, with and without end point conditions. At the end they give an application of their results to an image recovery problem besides generalizing several other results in the existing literature. The results of the paper are new, well-written, extending previously known results and useful to researchers working in nonlinear analysis, particularly, in the area of iterative schemes in fixed point theory.