Year: 2026
Type: preprint
Abstract: We introduce a generalized metric space endowed with a weighted graph and establish sufficient conditions for the existence of fixed points for set-valued mappings that satisfy a contractive condition only along the links of the graph. To demonstrate the applicability and significance of our results, several illustrative examples are presented. As an application, we establish the solvability of a class of integral problems involving set-valued data.
Source: arXiv (Cornell University)
Authors: Beg, Ismat, Javed, Muhammad Aslam
Institutions: Lahore School of Economics, University of Central Punjab
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223702548