Results on fixed points of closed and compact composite sequences of operators and projectors in a class of complete metric spaces

TL;DR

This paper investigates fixed points of composite operators, including projections, in complete metric spaces, providing new insights into their behavior and properties.

Contribution

It introduces new results on fixed points for contractive compositions of bounded operators, encompassing sequences of oblique projection operators.

Findings

Fixed points for contractive compositions are characterized.

Sequences of projection operators are included in the analysis.

Results extend existing fixed point theories in metric spaces.

Abstract

Some results on fixed points related to the contractive compositions of bounded operators in complete metric spaces are discussed through the manuscript. The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators.