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Fixed Points in Monotone Mappings by Be Teo is a document available to read on EtoBox.
This paper investigates the existence of fixed points for monotone nonexpansive mappings in Banach spaces that are endowed with a directed graph. The study builds on previous results related to contraction mappings and introduces new concepts and definitions relevant to graph theory and fixed point theory. The main theorem established demonstrates that under certain conditions, a G-monotone nonexpansive mapping will have a fixed point in a bounded convex subset of the Banach space.
- Author
- Be Teo
- Language
- EN