Work

The Multivalued Fibre Contraction Principle and Applications

Year: 2026

Type: article

Abstract: In this paper, we will extend the Fibre Contraction Principle (FCP) to the case of multivalued operators. Starting with an extended variant of the Multivalued Contraction Principle, a Multivalued Fibre Contraction Principle will be proved. The special case of multivalued operators having strict fixed points and some open questions for the case of nonself operators are also presented. Some applications to a triangular system of integral inclusions and to multivalued fibre fractals are also given.

Source: Set-Valued and Variational Analysis

DOI: 10.1007/s11228-026-00800-x

Authors: Adrian Petruşel, Ioan A. Rus, Marcel-Adrian Şerban

Institution: Babeș-Bolyai University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W7153227665