An extended generalized admissible S-algorithm for multivalued type contractions in Banach spaces with graphs and its application to image recovery problem

Abstract

In a uniformly convex Banach space with a graph, we enlarge two
general classes of multivalued contraction conditions and study the
strong convergence of a new extended generalized admissible
$\mathbb{S}$-algorithm to a common fixed point of such classes of
mappings. An application to the image recovery problem by the metric
projections in a Hilbert space is also presented. This paper
develops the corresponding work presented in Saddeek and Ahmed [35]
and the references therein